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Journal articles on the topic 'Differential inclusions'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 June 2025

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1

Cernea, Aurelian. "Variational inclusions for a Sturm-Liouville type differential inclusion." Mathematica Bohemica 135, no. 2 (2010): 171–78. http://dx.doi.org/10.21136/mb.2010.140694.

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2

Cannarsa, Piermarco, Francesco Marino, and Peter Wolenski. "The dual arc inclusion with differential inclusions." Nonlinear Analysis: Theory, Methods & Applications 79 (March 2013): 176–89. http://dx.doi.org/10.1016/j.na.2012.11.021.

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3

Bandyopadhyay, Saugata, Ana Cristina Barroso, Bernard Dacorogna, and José Matias. "Differential inclusions for differential forms." Calculus of Variations and Partial Differential Equations 28, no. 4 (2006): 449–69. http://dx.doi.org/10.1007/s00526-006-0049-6.

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4

Boudaoud, Mohamed, and Tadeusz Rzeżuchowski. "On differential inclusions with prescribed solutions." Časopis pro pěstování matematiky 114, no. 3 (1989): 289–93. http://dx.doi.org/10.21136/cpm.1989.118380.

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5

Baidosov, V. A. "Fuzzy differential inclusions." Journal of Applied Mathematics and Mechanics 54, no. 1 (1990): 8–13. http://dx.doi.org/10.1016/0021-8928(90)90080-t.

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6

Lorenz, Thomas. "Mutational inclusions: Differential inclusions in metric spaces." Discrete & Continuous Dynamical Systems - B 14, no. 2 (2010): 629–54. http://dx.doi.org/10.3934/dcdsb.2010.14.629.

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7

Leśniewski, Andrzej, and Tadeusz Rzeżuchowski. "Semipermeable surfaces for non-smooth differential inclusions." Mathematica Bohemica 131, no. 3 (2006): 261–78. http://dx.doi.org/10.21136/mb.2006.134141.

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8

Fečkan, Michal. "Differential inclusions at resonance." Bulletin of the Belgian Mathematical Society - Simon Stevin 5, no. 4 (1998): 483–95. http://dx.doi.org/10.36045/bbms/1103309988.

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9

Craciun, Gheorghe, Abhishek Deshpande, and Hyejin Jenny Yeon. "Quasi-toric differential inclusions." Discrete & Continuous Dynamical Systems - B 22, no. 11 (2017): 0. http://dx.doi.org/10.3934/dcdsb.2020181.

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10

Pearson, D. W. "Simplex type differential inclusions." Applied Mathematics Letters 13, no. 4 (2000): 17–21. http://dx.doi.org/10.1016/s0893-9659(99)00202-5.

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11

Bulgakov, A. I., and V. V. Skomorokhov. "Approximation of differential inclusions." Sbornik: Mathematics 193, no. 2 (2002): 187–203. http://dx.doi.org/10.1070/sm2002v193n02abeh000626.

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12

Klimov, V. S. "Averaging of differential inclusions." Differential Equations 44, no. 12 (2008): 1673–81. http://dx.doi.org/10.1134/s0012266108120033.

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13

Ouahab, Abdelghani. "Fractional semilinear differential inclusions." Computers & Mathematics with Applications 64, no. 10 (2012): 3235–52. http://dx.doi.org/10.1016/j.camwa.2012.03.039.

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14

Grammel, G. "Controllability of differential inclusions." Journal of Dynamical and Control Systems 1, no. 4 (1995): 581–95. http://dx.doi.org/10.1007/bf02255897.

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15

Silva, G. N., and R. B. Vinter. "Measure Driven Differential Inclusions." Journal of Mathematical Analysis and Applications 202, no. 3 (1996): 727–46. http://dx.doi.org/10.1006/jmaa.1996.0344.

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16

Mahmudov, Elimhan N. "Optimal control of higher order differential inclusions with functional constraints." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 37. http://dx.doi.org/10.1051/cocv/2019018.

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The present paper studies the Mayer problem with higher order evolution differential inclusions and functional constraints of optimal control theory (PFC); to this end first we use an interesting auxiliary problem with second order discrete-time and discrete approximate inclusions (PFD). Are proved necessary and sufficient conditions incorporating the Euler–Lagrange inclusion, the Hamiltonian inclusion, the transversality and complementary slackness conditions. The basic concept of obtaining optimal conditions is locally adjoint mappings and equivalence results. Then combining these results and passing to the limit in the discrete approximations we establish new sufficient optimality conditions for second order continuous-time evolution inclusions. This approach and results make a bridge between optimal control problem with higher order differential inclusion (PFC) and constrained mathematical programming problems in finite-dimensional spaces. Formulation of the transversality and complementary slackness conditions for second order differential inclusions play a substantial role in the next investigations without which it is hardly ever possible to get any optimality conditions; consequently, these results are generalized to the problem with an arbitrary higher order differential inclusion. Furthermore, application of these results is demonstrated by solving some semilinear problem with second and third order differential inclusions.
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17

Krejčí, Pavel, and Vincenzo Recupero. "$\rm BV$ solutions of rate independent differential inclusions." Mathematica Bohemica 139, no. 4 (2014): 607–19. http://dx.doi.org/10.21136/mb.2014.144138.

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18

Frankowska, H. "Adjoint differential inclusions in necessary conditions for the minimal trajectories of differential inclusions." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 2, no. 2 (1985): 75–99. http://dx.doi.org/10.1016/s0294-1449(16)30408-5.

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19

Skomorokhov, Victor Victorovich. "APPROXIMATION OF HYPERBOLIC DIFFERENTIAL INCLUSIONS OF FRACTIONAL ORDER WITH IMPULSES." Tambov University Reports. Series: Natural and Technical Sciences, no. 124 (2018): 738–44. http://dx.doi.org/10.20310/1810-0198-2018-23-124-738-744.

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In this paper there are considered hyperbolic differential inclusions of fractional order with impulses. Here we represent the concept of approximate solution (δ-solution) for a hyperbolic differential inclusion of fractional order with impulses. The asymptotic properties of solutions sets to approximating differential inclusions of fractional order with external disturbance are derived.
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20

Papageorgiou, Nikolaos S. "Differential inclusions with state constraints." Proceedings of the Edinburgh Mathematical Society 32, no. 1 (1989): 81–98. http://dx.doi.org/10.1017/s0013091500006933.

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In “Viability Theory”, we select trajectories which are viable in the sense that they always satisfy a given constraint. Since the fundamental work of Nagumo [26], we know that in order to guarantee existence of viable trajectories, we need to satisfy certain tangential conditions. In the case of differential inclusions and using the modern terminology and notation of tangent cones, this condition takes the form F(t, x) ∩ TK#φ, where F(.,.) is the orientor field involved in the differential inclusion, K is the viability (constraint) set and TK(x) is the tangent cone to K at x. Results on the existence of viable solutions for differential inclusions can be found in Aubin–Cellina [2] and Papageorgiou [30,32].
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21

Tione, Riccardo. "Minimal graphs and differential inclusions." Communications in Partial Differential Equations 46, no. 6 (2021): 1162–94. http://dx.doi.org/10.1080/03605302.2020.1871367.

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22

Cichoń, Kinga, Mieczysław Cichoń, and Bianca Satco. "Differential inclusions and multivalued integrals." Discussiones Mathematicae. Differential Inclusions, Control and Optimization 33, no. 2 (2013): 171. http://dx.doi.org/10.7151/dmdico.1147.

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23

Laoprasittichok, Sorasak, Sotiris K. Ntouyas, and Jessada Tariboon. "Hybrid fractional integro-differential inclusions." Discussiones Mathematicae. Differential Inclusions, Control and Optimization 35, no. 2 (2015): 151. http://dx.doi.org/10.7151/dmdico.1174.

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24

Bonneuil, Noel. "History, Differential Inclusions, and Narrative." History and Theory 40, no. 4 (2001): 101–15. http://dx.doi.org/10.1111/0018-2656.00184.

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25

Hu, Shou Chuan, and Nikolaos S. Papageorgiou. "Delay differential inclusions with constraints." Proceedings of the American Mathematical Society 123, no. 7 (1995): 2141. http://dx.doi.org/10.1090/s0002-9939-1995-1257111-9.

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26

Quincampoix, Marc. "Differential Inclusions and Target Problems." SIAM Journal on Control and Optimization 30, no. 2 (1992): 324–35. http://dx.doi.org/10.1137/0330020.

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27

FEČKAN, MICHAL. "CHAOS IN NONAUTONOMOUS DIFFERENTIAL INCLUSIONS." International Journal of Bifurcation and Chaos 15, no. 06 (2005): 1919–30. http://dx.doi.org/10.1142/s0218127405013058.

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The existence of a continuum of many chaotic solutions are shown for certain differential inclusions which are small nonautonomous multivalued perturbations of ordinary differential equations possessing homoclinic solutions to hyperbolic fixed points. Applications are given to dry friction problems.
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28

Benaïm, Michel, Josef Hofbauer, and Sylvain Sorin. "Stochastic Approximations and Differential Inclusions." SIAM Journal on Control and Optimization 44, no. 1 (2005): 328–48. http://dx.doi.org/10.1137/s0363012904439301.

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29

Marano, Salvatore A. "Elliptic equations and differential inclusions." Nonlinear Analysis: Theory, Methods & Applications 30, no. 3 (1997): 1763–70. http://dx.doi.org/10.1016/s0362-546x(97)00252-6.

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30

Gorniewicz, Lech, and Miroslaw Slosarski. "Topological essentiality and differential inclusions." Bulletin of the Australian Mathematical Society 45, no. 2 (1992): 177–93. http://dx.doi.org/10.1017/s0004972700030045.

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In the present paper a concept of topological essentiality for a large class of multivalued mappings is introduced. This concept is strictly related to the Leray-Schauder topological degree theory but is simpler and also more general. Applying the above concept to boundary value problems for differential inclusion with both upper semi-continuous and lower semi-continuous right hand sides, several new results are obtained.
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31

Pappas, George J., and Shankar Sastry. "Straightening out rectangular differential inclusions." Systems & Control Letters 35, no. 2 (1998): 79–85. http://dx.doi.org/10.1016/s0167-6911(98)00037-1.

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32

Zhu, Yuanguo, and Ling Rao. "Differential Inclusions for fuzzy maps." Fuzzy Sets and Systems 112, no. 2 (2000): 257–61. http://dx.doi.org/10.1016/s0165-0114(98)00077-3.

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33

Kristály, Alexandru, Ildikó I. Mezei, and Károly Szilák. "Differential inclusions involving oscillatory terms." Nonlinear Analysis 197 (August 2020): 111834. http://dx.doi.org/10.1016/j.na.2020.111834.

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34

Loewen, Philip D., Frank H. Clarke, and Richard B. Vinter. "Differential inclusions with free time." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 5, no. 6 (1988): 573–93. http://dx.doi.org/10.1016/s0294-1449(16)30336-5.

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35

Komleva, T. A., and A. V. Plotnikov. "Differential inclusions with Hukuhara derivative." Nonlinear Oscillations 10, no. 2 (2007): 229–45. http://dx.doi.org/10.1007/s11072-007-0017-x.

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36

Skripnik, N. V. "Quasisolutions of fuzzy differential inclusions." Nonlinear Oscillations 14, no. 4 (2012): 560–67. http://dx.doi.org/10.1007/s11072-012-0177-1.

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37

Gao, Yan. "Viability criteria for differential inclusions." Journal of Systems Science and Complexity 24, no. 5 (2011): 825–34. http://dx.doi.org/10.1007/s11424-011-9056-6.

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38

De Blasi, F. S., and G. Pianigiani. "Differential inclusions in Banach spaces." Journal of Differential Equations 66, no. 2 (1987): 208–29. http://dx.doi.org/10.1016/0022-0396(87)90032-5.

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39

Donchev, Tzanko, and Iordan Slavov. "Singularly perturbed functional-differential inclusions." Set-Valued Analysis 3, no. 2 (1995): 113–28. http://dx.doi.org/10.1007/bf01038594.

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40

Li Yong and Lin Zhenghua. "Periodic solutions of differential inclusions." Nonlinear Analysis: Theory, Methods & Applications 24, no. 5 (1995): 631–41. http://dx.doi.org/10.1016/0362-546x(94)00111-t.

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41

Veliov, V. M. "Differential inclusions with stable subinclusions." Nonlinear Analysis: Theory, Methods & Applications 23, no. 8 (1994): 1027–38. http://dx.doi.org/10.1016/0362-546x(94)90197-x.

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42

Ekhaguere, G. O. S. "Lipschitzian quantum stochastic differential inclusions." International Journal of Theoretical Physics 31, no. 11 (1992): 2003–27. http://dx.doi.org/10.1007/bf00671969.

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43

Carja, O., T. Donchev, M. Rafaqat, and R. Ahmed. "Viability of fractional differential inclusions." Applied Mathematics Letters 38 (December 2014): 48–51. http://dx.doi.org/10.1016/j.aml.2014.06.012.

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44

Abbasbandy, S., T. A. Viranloo, Ó. López-Pouso, and J. J. Nieto. "Numerical methods forfuzzy differential inclusions." Computers & Mathematics with Applications 48, no. 10-11 (2004): 1633–41. http://dx.doi.org/10.1016/j.camwa.2004.03.009.

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45

Donchev, Tzanko, Alina Ilinca Lazu, and Ammara Nosheen. "One-sided Perron Differential Inclusions." Set-Valued and Variational Analysis 21, no. 2 (2013): 283–96. http://dx.doi.org/10.1007/s11228-012-0227-y.

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46

Osher, Stanley, Feng Ruan, Jiechao Xiong, Yuan Yao, and Wotao Yin. "Sparse recovery via differential inclusions." Applied and Computational Harmonic Analysis 41, no. 2 (2016): 436–69. http://dx.doi.org/10.1016/j.acha.2016.01.002.

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47

Majumdar, Kausik Kumar. "One dimensional fuzzy differential inclusions." Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology 13, no. 1 (2003): 1–5. https://doi.org/10.3233/ifs-2003-00149.

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48

Rzeżuchowski, Tadeusz, and Janusz Wąsowski. "Differential Equations with Fuzzy Parameters via Differential Inclusions." Journal of Mathematical Analysis and Applications 255, no. 1 (2001): 177–94. http://dx.doi.org/10.1006/jmaa.2000.7229.

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49

Cernea, A. "SEVERAL VARIATIONAL INCLUSIONS FOR A FRACTIONAL DIFFERENTIAL INCLUSION OF CAPUTO-FABRIZIO TYPE." Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application 15, no. 1-2 (2023): 154–62. http://dx.doi.org/10.56082/annalsarscimath.2023.1-2.154.

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50

Arutyunov, A. V., Z. T. Zhukovskaya, and S. E. Zhukovskiy. "On Nonlinear Boundary Value Problems for Differential Inclusions." Дифференциальные уравнения 59, no. 11 (2023): 1443–50. http://dx.doi.org/10.31857/s0374064123110018.

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We consider autonomous differential inclusions with nonlinear boundary conditions. Sufficient conditions for the existence of solutions in the class of absolutely continuous functions are obtained for these inclusions. It is shown that the corresponding existence theorem applies to the Cauchy problem and the antiperiodic boundary value problem. The result is used to derive a new mean value inequality for continuously differentiable functions.
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