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Journal articles on the topic 'Three-point boundary value problems'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Xian, Xu. "Three solutions for three-point boundary value problems." Nonlinear Analysis: Theory, Methods & Applications 62, no. 6 (2005): 1053–66. http://dx.doi.org/10.1016/j.na.2005.04.017.

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2

Sveikate, Nadezhda. "ON THREE-POINT BOUNDARY VALUE PROBLEM." Mathematical Modelling and Analysis 21, no. 2 (2016): 270–81. http://dx.doi.org/10.3846/13926292.2016.1154113.

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Three-point boundary value problems for the second order nonlinear ordinary differential equations are considered. Existence of solutions are established by using the quasilinearization approach. As an application, the Emden-Fowler type problems with nonresonant and resonant linear parts are considered to demonstrate our results.

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3

López, J. L., Ester Pérez Sinusía, and N. M. Temme. "A three-point Taylor algorithm for three-point boundary value problems." Journal of Differential Equations 251, no. 1 (2011): 26–44. http://dx.doi.org/10.1016/j.jde.2011.03.022.

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4

Prakash, P., G. Sudha Priya, and J. H. Kim. "Third-order three-point fuzzy boundary value problems." Nonlinear Analysis: Hybrid Systems 3, no. 3 (2009): 323–33. http://dx.doi.org/10.1016/j.nahs.2009.02.001.

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5

Santos, Dionicio Pastor Dallos. "Three-point boundary value problems in Banach spaces." Boletín de la Sociedad Matemática Mexicana 25, no. 2 (2018): 351–62. http://dx.doi.org/10.1007/s40590-018-0200-3.

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6

Peterson, A. C., Y. N. Raffoul †, and C. C. Tisdell ‡. "Three Point Boundary Value Problems on Time Scales." Journal of Difference Equations and Applications 10, no. 9 (2004): 843–49. http://dx.doi.org/10.1080/10236190410001702481.

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7

Zhang, Guang, and R. Medina. "Three-point boundary value problems for difference equations." Computers & Mathematics with Applications 48, no. 12 (2004): 1791–99. http://dx.doi.org/10.1016/j.camwa.2004.09.002.

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8

Miao, Ye-hong, and Ji-hui Zhang. "Positive solutions of three-point boundary value problems." Applied Mathematics and Mechanics 29, no. 6 (2008): 817–23. http://dx.doi.org/10.1007/s10483-008-0613-y.

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9

Boucherif, Abdelkader, and Nawal Al-Malki. "Nonlinear three-point third-order boundary value problems." Applied Mathematics and Computation 190, no. 2 (2007): 1168–77. http://dx.doi.org/10.1016/j.amc.2007.02.039.

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10

Luca, Rodica. "On a class of $m$-point boundary value problems." Mathematica Bohemica 137, no. 2 (2012): 187–94. http://dx.doi.org/10.21136/mb.2012.142864.

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11

Staněk, Svatoslav. "Three-point boundary value problem for nonlinear second-order differential equation with parameter." Czechoslovak Mathematical Journal 42, no. 2 (1992): 241–56. http://dx.doi.org/10.21136/cmj.1992.128324.

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12

Gupta, Chaitan P., S. K. Ntouyas, and P. Ch Tsamatos. "On the solvability of some multi-point boundary value problems." Applications of Mathematics 41, no. 1 (1996): 1–17. http://dx.doi.org/10.21136/am.1996.134310.

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13

Feng, W., and J. R. L. Webb. "Solvability of three point boundary value problems at resonance." Nonlinear Analysis: Theory, Methods & Applications 30, no. 6 (1997): 3227–38. http://dx.doi.org/10.1016/s0362-546x(96)00118-6.

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14

Ma, Ruyun, and Haiyan Wang. "Positive solutions of nonlinear three-point boundary-value problems." Journal of Mathematical Analysis and Applications 279, no. 1 (2003): 216–27. http://dx.doi.org/10.1016/s0022-247x(02)00661-3.

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15

Mohamed, Mesliza, Bevan Thompson, and Muhammad Sufian Jusoh. "First-order three-point boundary value problems at resonance." Journal of Computational and Applied Mathematics 235, no. 16 (2011): 4796–801. http://dx.doi.org/10.1016/j.cam.2010.10.029.

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16

Liu, Dongyuan, and Zigen Ouyang. "Solvability of Third-Order Three-Point Boundary Value Problems." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/793639.

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We are interested in the existence theorems for a third-order three-point boundary value problem. In the nonresonant case, using the Krasnosel’skii fixed point theorem, we obtain some sufficient conditions for the existence of the positive solutions. In addition, we focus on the resonant case, the boundary value problem being transformed into an integral equation with an undetermined parameter, and the existence conditions being obtained by the Intermediate Value Theorem.

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17

Ali Khan, Rahmat. "Generalized approximations for nonlinear three-point boundary value problems." Applied Mathematics and Computation 197, no. 1 (2008): 111–20. http://dx.doi.org/10.1016/j.amc.2007.07.042.

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18

Šenkyřík, Martin. "Existence of multiple solutions for a third-order three-point regular boundary value problem." Mathematica Bohemica 119, no. 2 (1994): 113–21. http://dx.doi.org/10.21136/mb.1994.126080.

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19

Lin, Avi. "High-Order Three Point Schemes for Boundary Value Problems I. Linear Problems." SIAM Journal on Scientific and Statistical Computing 7, no. 3 (1986): 940–58. http://dx.doi.org/10.1137/0907063.

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20

Lin, Avi. "High-order three-point schemes for boundary value problems. II: nonlinear problems." Journal of Computational and Applied Mathematics 15, no. 3 (1986): 269–82. http://dx.doi.org/10.1016/0377-0427(86)90218-9.

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21

Nica, Octavia. "Existence results for second order three-point boundary value problems." Differential Equations & Applications, no. 4 (2012): 547–70. http://dx.doi.org/10.7153/dea-04-32.

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22

Liu, Bingmei, Lishan Liu, and Yonghong Wu. "Multiple solutions of singular three-point boundary value problems on." Nonlinear Analysis: Theory, Methods & Applications 70, no. 9 (2009): 3348–57. http://dx.doi.org/10.1016/j.na.2008.05.002.

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23

Batarfi, H., Jorge Losada, Juan J. Nieto, and W. Shammakh. "Three-Point Boundary Value Problems for Conformable Fractional Differential Equations." Journal of Function Spaces 2015 (2015): 1–6. http://dx.doi.org/10.1155/2015/706383.

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We study a fractional differential equation using a recent novel concept of fractional derivative with initial and three-point boundary conditions. We first obtain Green's function for the linear problem and then we study the nonlinear differential equation.

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24

Ali Khan, Rahmat. "Quasilinearization method and nonlocal singular three point boundary value problems." Electronic Journal of Qualitative Theory of Differential Equations, no. 17 (2009): 1–13. http://dx.doi.org/10.14232/ejqtde.2009.4.17.

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25

Saadi, Abdelkader, and Maamar Benbachir. "Positive solutions for three-point nonlinear fractional boundary value problems." Electronic Journal of Qualitative Theory of Differential Equations, no. 2 (2011): 1–19. http://dx.doi.org/10.14232/ejqtde.2011.1.2.

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26

Akhtyamov, A. M. "On the Finite Spectrum of Three-Point Boundary Value Problems." Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 13, no. 2 (2020): 130–35. http://dx.doi.org/10.14529/mmp200211.

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27

Agarwal, R. P., H. B. Thompson, and C. C. Tisdell. "Three-point boundary value problems for second-order discrete equations." Computers & Mathematics with Applications 45, no. 6-9 (2003): 1429–35. http://dx.doi.org/10.1016/s0898-1221(03)00098-1.

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28

Anderson, D. R. "Discrete third-order three-point right-focal boundary value problems." Computers & Mathematics with Applications 45, no. 6-9 (2003): 861–71. http://dx.doi.org/10.1016/s0898-1221(03)80157-8.

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29

Aftabizadeh, A. R., Chaitan P. Gupta, and Jian-Ming Xu. "Existence and Uniqueness Theorems for Three–Point Boundary Value Problems." SIAM Journal on Mathematical Analysis 20, no. 3 (1989): 716–26. http://dx.doi.org/10.1137/0520049.

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30

Infante, G., and J. R. L. Webb. "Three Point Boundary Value Problems with Solutions that Change Sign." Journal of Integral Equations and Applications 15, no. 1 (2003): 37–57. http://dx.doi.org/10.1216/jiea/1181074944.

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31

Yuhua, Li, and Liang Zhanping. "Two positive solutions to three-point singular boundary value problems." Acta Mathematica Scientia 31, no. 1 (2011): 29–38. http://dx.doi.org/10.1016/s0252-9602(11)60205-1.

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32

ur Rehman, Mujeeb, Rahmat Ali Khan, and Naseer Ahmad Asif. "Three point boundary value problems for nonlinear fractional differential equations." Acta Mathematica Scientia 31, no. 4 (2011): 1337–46. http://dx.doi.org/10.1016/s0252-9602(11)60320-2.

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33

Kwong, Man Kam, and James S. W. Wong. "Solvability of second-order nonlinear three-point boundary value problems." Nonlinear Analysis: Theory, Methods & Applications 73, no. 8 (2010): 2343–52. http://dx.doi.org/10.1016/j.na.2010.04.062.

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34

Ma, Ruyun. "Positive solutions for second-order three-point boundary value problems." Applied Mathematics Letters 14, no. 1 (2001): 1–5. http://dx.doi.org/10.1016/s0893-9659(00)00102-6.

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35

El-Sayed, A. M. A., and Abd El-Salam Sh. A. "Solvability of some fractional-order three point boundary value problems." Malaya Journal of Matematik 06, no. 02 (2018): 390–95. http://dx.doi.org/10.26637/mjm0602/0015.

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36

He, Xiaoming, and Weigao Ge. "Triple Solutions for Second-Order Three-Point Boundary Value Problems." Journal of Mathematical Analysis and Applications 268, no. 1 (2002): 256–65. http://dx.doi.org/10.1006/jmaa.2001.7824.

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37

Wu, Xiangyun, and Zhanbing Bai. "On third-order three-point right focal boundary value problems." Tamkang Journal of Mathematics 39, no. 4 (2008): 317–24. http://dx.doi.org/10.5556/j.tkjm.39.2008.5.

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In this paper, a fixed point theorem in a cone, some inequalities of the associated Green's function and the concavity of solutions are applied to obtain the existence of positive solutions of third-order three-point boundary value problem with dependence on the first-order derivative$\begin{cases}& x'''(t) = f(t, x(t), x'(t)), \quad 0 < t < 1, \\ & x(0) = x'(\eta) = x''(1) = 0, \end{cases}$where $f:[0, 1]\times[0, \infty)\times R\to [0,\infty)$ is a nonnegative continuous function, $\eta\in(1/2, 1).$

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38

Ronto, A. N., M. Rontó, and N. M. Shchobak. "On the parametrization of three-point nonlinear boundary-value problems." Nonlinear Oscillations 7, no. 3 (2004): 384–402. http://dx.doi.org/10.1007/s11072-005-0019-5.

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39

Heidarkhani, Shapour, Massimiliano Ferrara, Giuseppe Caristi, and Amjad Salari. "Multiplicity Results for Kirchhoff-Type Three-Point Boundary Value Problems." Acta Applicandae Mathematicae 156, no. 1 (2018): 133–57. http://dx.doi.org/10.1007/s10440-018-0157-2.

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40

Zhai, Chengbo. "Positive solutions for semi-positone three-point boundary value problems." Journal of Computational and Applied Mathematics 228, no. 1 (2009): 279–86. http://dx.doi.org/10.1016/j.cam.2008.09.019.

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41

Cichoń, Mieczysław, and Hussein A. H. Salem. "Second order three-point boundary value problems in abstract spaces." Acta Mathematicae Applicatae Sinica, English Series 30, no. 4 (2014): 1131–52. http://dx.doi.org/10.1007/s10255-014-0429-1.

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42

Ronto, N. I., and T. V. Savina. "A numerical-analytic method for three-point boundary-value problems." Ukrainian Mathematical Journal 46, no. 4 (1994): 413–24. http://dx.doi.org/10.1007/bf01060411.

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43

Yang, Dianwu. "A Variational Principle for Three-Point Boundary Value Problems with Impulse." Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/840408.

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We construct a variational functional of a class of three-point boundary value problems with impulse. Using the critical points theory, we study the existence of solutions to second-order three-point boundary value problems with impulse.

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44

Liu, Bingmei, Lishan Liu, and Yonghong Wu. "Unbounded solutions for three-point boundary value problems with nonlinear boundary conditions on." Nonlinear Analysis: Theory, Methods & Applications 73, no. 9 (2010): 2923–32. http://dx.doi.org/10.1016/j.na.2010.06.052.

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45

Mohamed, Mesliza, Bevan Thompson, and Muhammad Sufian Jusoh. "First-Order Three-Point Boundary Value Problems at Resonance Part III." Journal of Applied Mathematics 2012 (2012): 1–14. http://dx.doi.org/10.1155/2012/357651.

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The main purpose of this paper is to investigate the existence of solutions of BVPs for a very general case in which both the system of ordinary differential equations and the boundary conditions are nonlinear. By employing the implicit function theorem, sufficient conditions for the existence of three-point boundary value problems are established.

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46

Pasic, H. "Multipoint Boundary-Value Solution of Two-Point Boundary-Value Problems." Journal of Optimization Theory and Applications 100, no. 2 (1999): 397–416. http://dx.doi.org/10.1023/a:1021742521630.

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47

Shi, Yanli, and Minghe Pei. "Two-point and three-point boundary value problems fornth-order nonlinear differential equations." Applicable Analysis 85, no. 12 (2006): 1421–32. http://dx.doi.org/10.1080/00036810601066061.

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48

Anderson, D. R. "Twin n-point boundary value problems." Applied Mathematics Letters 17, no. 9 (2004): 1053–59. http://dx.doi.org/10.1016/j.aml.2004.07.008.

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49

Murty, K. N., and P. V. S. Lakshmi. "On two-point boundary value problems." Journal of Mathematical Analysis and Applications 153, no. 1 (1990): 217–25. http://dx.doi.org/10.1016/0022-247x(90)90274-j.

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50

Lyons, Jeffrey W., and Jeffrey T. Neugebauer. "Two point fractional boundary value problems with a fractional boundary condition." Fractional Calculus and Applied Analysis 21, no. 2 (2018): 442–61. http://dx.doi.org/10.1515/fca-2018-0025.

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Abstract In this paper, we employ Krasnoseľskii’s fixed point theorem to show the existence of positive solutions to three different two point fractional boundary value problems with fractional boundary conditions. Also, nonexistence results are given.

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