본문 바로가기
KERD
논문KCI 등재

Positive Solutions for the Second Order Differential System with Strongly Coupled Integral Boundary Condition

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

We establish the existence, multiplicity and uniqueness of positive solutions to nonlocal boundary value systems with strongly coupled integral boundary condition by using the global continuation theorem and Banach's contraction principle.

Abstract

We establish the existence, multiplicity and uniqueness of positive solutions to nonlocal boundary value systems with strongly coupled integral boundary condition by using the global continuation theorem and Banach's contraction principle.

참고문헌 (14)

  1. J. R. Cannon, "The solution of the heat equation subject to the specification of energy", Quart. Appl. Math, 21(2), pp.155~160 (1963)
  2. R. Yu. Chegis, "Numerical solution of a heat conduction problem with an integral boundary condition", Litovsk. Mat. Sb, 24, pp.209~215 (1984)
  3. X. Cheng, "Existence of positive solutions for a second-order ordinary differential system", J. Math. Anal. Appl, 312(1), pp.14~23 (2005)
  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. Y. Cui, "Uniqueness theorem of differential system with coupled integral boundary conditions", Electron. J. Qual. Theory Differ. Equ, (9), pp.1~10 (2018)
  6. 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)
  7. 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)
  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. G. Infante, "Eigenvalues and nonnegative solutions of a system with nonlocal BCs", Nonlinear Stud, 16(2), pp.187~196 (2009)
  10. N. I. Ionkin, "Solution of a boundary value problem in heat conduction theory with nonlocal boundary conditions", Diff. Equ, 13, pp.294~304 (1977)
  11. M. A. Krasnosel’skii, "Positive solutions of operator equations" (1964), P. Noordhoff
  12. W. J. Song, "Positive solutions for a second-order system with integral boundary conditions", Electron. J. Differential Equations, 2011(13), pp.1~9 (2011)
  13. Z. L. Yang, "Positive solutions to a system of second-order nonlocal boundary value problems", Nonlinear Anal, 62(7), pp.1251~1265 (2005)
  14. E. Zeidler, "Nonlinear Functional Analysis and its Applications I" (1985), Springer -Verlag

관련 논문AI추천

이 간행물의 다른 논문 (9건)