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1

Taira, K. "The Yamabe Problem and Nonlinear Boundary Value Problems." Journal of Differential Equations 122, no. 2 (1995): 316–72. http://dx.doi.org/10.1006/jdeq.1995.1151.

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2

Bartoli, Nathalie, and Francis Collino. "Integral EquationsVIASaddle Point Problem for 2D Electromagnetic Problems." ESAIM: Mathematical Modelling and Numerical Analysis 34, no. 5 (2000): 1023–49. http://dx.doi.org/10.1051/m2an:2000114.

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3

Bénilan, Philippe, and Noureddine Igbida. "The mesa problem for Neumann boundary value problem." Journal of Differential Equations 196, no. 2 (2004): 301–15. http://dx.doi.org/10.1016/j.jde.2003.04.001.

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4

Baiz, Othmane, Hicham Benaissa, Rachid Bouchantouf, and Driss El Moutawakil. "OPTIMIZATION PROBLEMS FOR A THERMOELASTIC FRICTIONAL CONTACT PROBLEM." Mathematical Modelling and Analysis 26, no. 3 (2021): 444–68. http://dx.doi.org/10.3846/mma.2021.12803.

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In the present paper, we analyze and study the control of a static thermoelastic contact problem. We consider a model which describes a frictional contact problem between a thermoelastic body and a deformable heat conductor obstacle. We derive a variational formulation of the model which is in the form of a coupled system of the quasi-variational inequality of elliptic type for the displacement and the nonlinear variational equation for the temperature. Then, under a smallness assumption, we prove the existence of a unique weak solution to the problem. Moreover, we establish the dependence of
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5

Zolotarev, V. A. "Direct and inverse problems for a periodic problem with non-local potential." Journal of Differential Equations 270 (January 2021): 1–23. http://dx.doi.org/10.1016/j.jde.2020.06.063.

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6

Bliedtner, Jürgen, and Magdalena Musat. "The Condenser Problem." Potential Analysis 21, no. 2 (2004): 177–92. http://dx.doi.org/10.1023/b:pota.0000025380.44721.e9.

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7

Vidossich, Giovanni. "The two-point boundary value problem from the Cauchy problem." Journal of Differential Equations 60, no. 1 (1985): 1–20. http://dx.doi.org/10.1016/0022-0396(85)90118-4.

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8

Davydenko, A. A. "Bok’s problem analysis." Astronomical & Astrophysical Transactions 25, no. 2-3 (2006): 251–52. http://dx.doi.org/10.1080/10556790600916749.

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9

Villegas, Salvador. "A Neumann Problem with Asymmetric Nonlinearity and a Related Minimizing Problem." Journal of Differential Equations 145, no. 1 (1998): 145–55. http://dx.doi.org/10.1006/jdeq.1997.3396.

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10

Naimovna, Khamraeva Khullar. "Neurobiological Nature of Speech Problem and Experimental Analysis." European International Journal of Pedagogics 5, no. 5 (2025): 196–99. https://doi.org/10.55640/eijp-05-05-42.

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Dyslexia is a specific reading disorder characterized by difficulties in accurate and fluent word recognition, as well as in decoding and spelling skills, and is a significant problem in education worldwide. The article emphasizes the need to take into account sociocultural factors and calls for international exchange of experience to improve the identification and support of individuals with dyslexia worldwide.
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11

Hollis, M. "Report on Analysis 'problem' no. 20." Analysis 45, no. 4 (1985): 177–78. http://dx.doi.org/10.1093/analys/45.4.177.

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12

Rousseau, C. "The root extraction problem." Journal of Differential Equations 234, no. 1 (2007): 110–41. http://dx.doi.org/10.1016/j.jde.2006.12.003.

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13

Harrison, Jenny. "The loxodromic mapping problem." Journal of Differential Equations 90, no. 1 (1991): 136–42. http://dx.doi.org/10.1016/0022-0396(91)90164-5.

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14

Tanaka, Jun-ichi. "Corona problem and flows." Journal of Functional Analysis 102, no. 2 (1991): 360–78. http://dx.doi.org/10.1016/0022-1236(91)90126-p.

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15

Andersson, Lars-Erik, and Tommy Elfving. "A Constrained Procrustes Problem." SIAM Journal on Matrix Analysis and Applications 18, no. 1 (1997): 124–39. http://dx.doi.org/10.1137/s0895479894277545.

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16

Bolle, Philippe. "On the Bolza Problem." Journal of Differential Equations 152, no. 2 (1999): 274–88. http://dx.doi.org/10.1006/jdeq.1998.3484.

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17

Walcher, Sebastian. "On the Poincaré Problem." Journal of Differential Equations 166, no. 1 (2000): 51–78. http://dx.doi.org/10.1006/jdeq.2000.3801.

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18

Harutyunyan, G., and B. W. Schulze. "The Zaremba Problem with Singular Interfaces as a Corner Boundary Value Problem." Potential Analysis 25, no. 4 (2006): 327–69. http://dx.doi.org/10.1007/s11118-006-9020-6.

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19

Ilyasov, Y. Sh, and N. F. Valeev. "On nonlinear boundary value problem corresponding to N-dimensional inverse spectral problem." Journal of Differential Equations 266, no. 8 (2019): 4533–43. http://dx.doi.org/10.1016/j.jde.2018.10.003.

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20

Eriksson, Kenneth, and Claes Johnson. "Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem." SIAM Journal on Numerical Analysis 28, no. 1 (1991): 43–77. http://dx.doi.org/10.1137/0728003.

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21

Mishra, Indira. "Homogenization of boundary optimal control problem." Electronic Journal of Differential Equations 2022, no. 01-87 (2022): 12. http://dx.doi.org/10.58997/ejde.2022.12.

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In this article, we study the asymptotic behavior of solutions to some optimal control problems, governed by an elliptic boundary value problem with Robin boundary conditions in a periodically perforated domain. The coefficients of the differential operator in the state equation and in the cost-functional are rapidly oscillating. We also study the boundary homogenization of some optimal control problems.
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22

Farzana, Humaira, and Samir Kumar Bhowmik. "Comparative Study on Sixth Order Boundary Value Problems with Application to Linear Hydrodynamic Stability Problem and Benard Layer Eigenvalue Problem." Differential Equations and Dynamical Systems 28, no. 3 (2019): 559–85. http://dx.doi.org/10.1007/s12591-019-00509-4.

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23

Christopher, C., and P. Mardešić. "The monodromy problem and the tangential center problem." Functional Analysis and Its Applications 44, no. 1 (2010): 22–35. http://dx.doi.org/10.1007/s10688-010-0003-4.

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24

Galiano, Gonzalo, and Victor Gonzalez-Tabernero. "Turing instability analysis of a singular cross-diffusion problem." Electronic Journal of Differential Equations 2021, no. 01-104 (2021): 55. http://dx.doi.org/10.58997/ejde.2021.55.

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The population model by Busenberg and Travis is a paradigmatic model in ecology and tumor modeling because its ability to capture interesting phenomena such as segregation of populations. Its singular mathematical structure enforces the consideration of regularized problems to deduce properties as fundamental as the existence of solutions. In this article we perform a weakly nonlinear stability analysis of a general class of regularized problems to study the convergence of the instability modes in the limit of the regularization parameter. We demonstrate with some specific examples that the pa
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25

Yang, Chuan-Fu. "An Interior Inverse Problem for Discontinuous Boundary-Value Problems." Integral Equations and Operator Theory 65, no. 4 (2009): 593–604. http://dx.doi.org/10.1007/s00020-009-1693-y.

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26

Permata, L. D., T. A. Kusmayadi, and L. Fitriana. "Mathematical problem solving skills analysis about word problems of linear program using IDEAL problem solver." Journal of Physics: Conference Series 1108 (November 2018): 012025. http://dx.doi.org/10.1088/1742-6596/1108/1/012025.

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27

Li, Meixia, Xueling Zhou, and Wenchao Wang. "Internal Perturbation Projection Algorithm for the Extended Split Equality Problem and the Extended Split Equality Fixed Point Problem." Journal of Function Spaces 2020 (June 3, 2020): 1–15. http://dx.doi.org/10.1155/2020/6034754.

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In this article, we study the extended split equality problem and extended split equality fixed point problem, which are extensions of the convex feasibility problem. For solving the extended split equality problem, we present two self-adaptive stepsize algorithms with internal perturbation projection and obtain the weak and the strong convergence of the algorithms, respectively. Furthermore, based on the operators being quasinonexpansive, we offer an iterative algorithm to solve the extended split equality fixed point problem. We introduce a way of selecting the stepsize which does not need a
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28

Goktas, Sertac. "A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus." Journal of Function Spaces 2021 (October 31, 2021): 1–8. http://dx.doi.org/10.1155/2021/5203939.

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In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some algebraic structures. Then, some asymptotic estimates for eigenfunctions of the multiplicative Sturm-Liouville problem are obtained by some techniques. Finally, some basic spectral properties of this multiplicative problem are examined in detail.
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29

Zabolotnii, Ya, and I. Denega. "About one problem on extremal decomposition." Issues of Analysis 28, no. 3 (2021): 141–50. http://dx.doi.org/10.15393/j3.art.2021.10410.

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30

Bell, S. "Mapping problems in complex analysis and the $\overline \partial$-problem." Bulletin of the American Mathematical Society 22, no. 2 (1990): 233–60. http://dx.doi.org/10.1090/s0273-0979-1990-15879-3.

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31

Dabbagh, Nada, and Susan Dass. "Case problems for problem-based pedagogical approaches: A comparative analysis." Computers & Education 64 (May 2013): 161–74. http://dx.doi.org/10.1016/j.compedu.2012.10.007.

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32

Chapman, S. J., and P. E. Farrell. "Analysis of Carrier's Problem." SIAM Journal on Applied Mathematics 77, no. 3 (2017): 924–50. http://dx.doi.org/10.1137/16m1096074.

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33

Custers, Eugène J. F. M., Paul M. J. Stuyt, and Pieter F. De Vries Robbé. "Clinical Problem Analysis (CPA)." Academic Medicine 75, no. 3 (2000): 291–97. http://dx.doi.org/10.1097/00001888-200003000-00024.

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34

Ramm, Alexander G. "A problem in analysis." Analysis 32, no. 2 (2012): 107–10. http://dx.doi.org/10.1524/anly.2012.1152.

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35

Kim, Takwon, Ki-Ahm Lee, and Jinwan Park. "A double obstacle problem in an optimal investment problem." Nonlinear Analysis 232 (July 2023): 113282. http://dx.doi.org/10.1016/j.na.2023.113282.

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36

Li, YanYan, Luc Nguyen та Bo Wang. "The axisymmetric σ-Nirenberg problem". Journal of Functional Analysis 281, № 9 (2021): 109198. http://dx.doi.org/10.1016/j.jfa.2021.109198.

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37

Fan, Jinyan, and Anwa Zhou. "The CP-Matrix Approximation Problem." SIAM Journal on Matrix Analysis and Applications 37, no. 1 (2016): 171–94. http://dx.doi.org/10.1137/15m1012086.

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38

Zhou, Anwa, and Jinyan Fan. "The CP-Matrix Completion Problem." SIAM Journal on Matrix Analysis and Applications 35, no. 1 (2014): 127–42. http://dx.doi.org/10.1137/130919490.

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39

Kautsky, Jaroslav. "Gauss Quadratures: An Inverse Problem." SIAM Journal on Matrix Analysis and Applications 13, no. 1 (1992): 402–17. http://dx.doi.org/10.1137/0613027.

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40

Popescu, Gelu. "Multivariable Nehari problem and interpolation." Journal of Functional Analysis 200, no. 2 (2003): 536–81. http://dx.doi.org/10.1016/s0022-1236(03)00078-8.

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41

Gesztesy, Fritz, and Helge Holden. "The damped string problem revisited." Journal of Differential Equations 251, no. 4-5 (2011): 1086–127. http://dx.doi.org/10.1016/j.jde.2011.04.025.

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42

Savin, Ovidiu, and Hui Yu. "On the multiple membranes problem." Journal of Functional Analysis 277, no. 6 (2019): 1581–602. http://dx.doi.org/10.1016/j.jfa.2019.06.003.

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43

Bebernes, J., and W. Fulks. "The small heat-loss problem." Journal of Differential Equations 57, no. 3 (1985): 324–32. http://dx.doi.org/10.1016/0022-0396(85)90059-2.

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44

Zhang, Tong, and Yuxi Zheng. "Riemann problem for gasdynamic combustion." Journal of Differential Equations 77, no. 2 (1989): 203–30. http://dx.doi.org/10.1016/0022-0396(89)90142-3.

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45

Putinar, Mihai. "A two-dimensional moment problem." Journal of Functional Analysis 80, no. 1 (1988): 1–8. http://dx.doi.org/10.1016/0022-1236(88)90060-2.

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46

Ma, Tong-Yi. "The generalized L_p-Winternitz problem." Journal of Mathematical Inequalities, no. 2 (2015): 597–614. http://dx.doi.org/10.7153/jmi-09-51.

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47

Mangasarian, O. L., and J. S. Pang. "The Extended Linear Complementarity Problem." SIAM Journal on Matrix Analysis and Applications 16, no. 2 (1995): 359–68. http://dx.doi.org/10.1137/s0895479893262734.

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48

Arav, Marina, Daniel Hershkowitz, and Volker Mehrmann Hans Schneider. "The Recursive Inverse Eigenvalue Problem." SIAM Journal on Matrix Analysis and Applications 22, no. 2 (2000): 392–412. http://dx.doi.org/10.1137/s0895479899354044.

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49

Odell, E., and Th Schlumprecht. "A Problem on Spreading Models." Journal of Functional Analysis 153, no. 2 (1998): 249–61. http://dx.doi.org/10.1006/jfan.1997.3191.

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50

Kamimura, Yutaka, and Hiroyuki Usami. "An inverse blow-up problem." Journal of Differential Equations 261, no. 11 (2016): 6368–410. http://dx.doi.org/10.1016/j.jde.2016.08.039.

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