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EXISTENCE OF POSITIVE SOLUTION FOR THE SECOND ORDER DIFFERENTIAL SYSTEMS WITH INTEGRAL BOUNDARY CONDITIONS.

이은경|진진희|조유영
영남수학회 (Youngnam Mathematical Society)|2023.01|East Asian Mathematical Journal|제39권 제1호|pp. 43-50

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참고문헌

키워드

existencepositive solutionintegral boundary conditionfixed point index theorem.
주제분류수학

초록

This paper is concerned with the existence of positive solu- tions to the second order differential systems with strongly coupled integral boundary value conditions. The fixed point index theorems are used for the main results.

Abstract

This paper is concerned with the existence of positive solu- tions to the second order differential systems with strongly coupled integral boundary value conditions. The fixed point index theorems are used for the main results.

참고문헌 (10)

  1. A. Boucherif, "Second-order boundary value problems with integral boundary conditions", Nonlinear Anal, 70, pp.364~371 (2009)
  2. J. R. Cannon, "The solution of the heat equation subject to the specification of energy", Quat. Appl. Math, 21(2), pp.155~160 (1963)
  3. R. Yu. Chegis, "Numerical solution of a heat conduction problem with an integral boundary condition", Litovsk. Mat. Sb, 24, pp.209~215 (1984)
  4. Y. Cui, "On existence of positive solutions of coupled integral boundary vlaue problems for a nonlinear singular superlinear differential system", Electron. J. Qual. Theory Differ. Equ, (41), pp.1~13 (2012)
  5. M. Feng, "Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces", J. Comput. Appl. Math, 222(2), pp.351~363 (2008)
  6. J.M. Gallardo, "Second-order differential operators with integral boundary conditions and generation of analytic semigroups", Rocky Mountain J. Math, 30(4), pp.1265~1291 (2000)
  7. D. Guo, "Nonlinear problems in abstract cones" (1988), Academic Press Inc
  8. J. Henderson, "Positive solutions for systems of second-order integral boundary value problems", Electron. J. Qual. Theory Differ. Equ, (70), pp.1~21 (2013)
  9. W.J. Song, "Positive solutions for a second-order system with integral boundary conditions", Electron. J. Differential Equations, 2011(13), pp.1~9 (2011)
  10. L. Zhang, "Multiple positive solution for a second-order boundary value problem with integral boundary conditions", Boundary Value Problem, 1 (2016)

관련 논문AI추천

Existence of Positive Solutions for the Second Order Differential Systems with Strongly Coupled Integral Boundary Conditions이은경영남수학회 · East Asian Mathematical Journal2018 · 제34권 제5호Positive Solutions for the Second Order Differential System with Strongly Coupled Integral Boundary Condition이은경, 조유영, Jinhee Jin영남수학회 · East Asian Mathematical Journal2024 · 제40권 제1호EXISTENCE OF THREE POSITIVE SOLUTIONS OF A CLASS OF BVPS FOR SINGULAR SECOND ORDER DIFFERENTIAL SYSTEMS ON THE WHOLE LINEPinghua Yang, Yuji Liu대한수학회 · 대한수학회지2017 · 제54권 제2호EXISTENCE OF POSITIVE SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS WITH BOUNDARY PARAMETER박예나, 이은경영남수학회 · East Asian Mathematical Journal2016 · 제32권 제5호EXISTENCE OF n POSITIVE SOLUTIONS TO SECOND-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCEFang Zhang, Feng Wang대한수학회 · 대한수학회보2012 · 제49권 제4호POSITIVE SOLUTIONS OF SELF-ADJOINT BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS AT RESONANCEAijun Yang, Weigao Ge한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제4호

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