본문 바로가기
KERD
논문KCI 등재

Positive solutions for a class of telegraph system with multiparameters

Fanglei Wang|Yukun An
대한수학회 (The Korean Mathematical Society)|2012.01|대한수학회지 (Journal of the KMS)|제49권 제1호|pp. 153-164

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

upper and lower solutionstelegraph systemfixed point theoremconedoubly periodic solution
주제분류수학

초록

In this paper, we study the existence, non-existence, and multiplicity of positive solutions for a coupled telegraph system using the fixed-point theorem of cone expansion/compression type, the upper-lower solutions method, and fixed point index theory.

Abstract

In this paper, we study the existence, non-existence, and multiplicity of positive solutions for a coupled telegraph system using the fixed-point theorem of cone expansion/compression type, the upper-lower solutions method, and fixed point index theory.

참고문헌 (16)

  1. R. Dalmasso, "Existence and uniqueness of positive solutions of semilinear elliptic sys- tems", Nonlinear Anal, 39(5), pp.559~568 (2000)
  2. D. R. Dunninger, "Multiplicity of positive radial solutions for an elliptic system on an annulus", Nonlinear Anal, 42(5), pp.803~811 (2000)
  3. D. Guo, "Nonlinear Problems in Abstract Cones" (1988), Academic Press
  4. D. D. Hai, "Uniqueness of positive solutions for a class of semilinear elliptic systems", Nonlinear Anal, 52(2), pp.595~603 (2003)
  5. W. S. Kim, "Multiple doubly periodic solutions of semilinear dissipative hyperbolic equa- tions", J. Math. Anal. Appl, 197(3), pp.735~748 (1996)
  6. Y. Lee, "Multiplicity of positive radial solutions for multiparameter semilinear elliptic systems on an annulus", J. Differential Equations, 174(2), pp.420~441 (2001)
  7. Y. Li, "Positive doubly periodic solutions of nonlinear telegraph equations", Nonlinear Anal, 55(3), pp.245~254 (2003)
  8. Y. Li, "Maximum principles and method of upper and lower solutions for time-periodic problems of the telegraph equations", J. Math. Anal. Appl, 327(2), pp.997~1009 (2007)
  9. J. M. do, "Positive solutions for a class of multi- parameter ordinary elliptic systems", J. Math. Anal. Appl, 332(2), pp.1249~1266 (2007)
  10. J. M. do, "Local superlinearity for elliptic systems involving parameters", J. Differential Equations, 211(1), pp.1~19 (2005)
  11. J. Mawhin, "A maximum principle for bounded solutions of the telegraph equations and applications to nonlinear forcings", J. Math. Anal. Appl, 251(2), pp.695~709 (2000)
  12. J. Mawhin, "Maximum principles for bounded solutions of the telegraph equation in space dimensions two or three and applications", J. Differential Equations, 208(1), pp.42~63 (2005)
  13. R. Ortega, "A maximum principle for periodic solutions of the telegraph equations", J. Math. Anal. Appl, 221(2), pp.625~651 (1998)
  14. F. Wang, "Nonnegative doubly periodic solutions for nonlinear telegraph system", J. Math. Anal. Appl, 338(1), pp.91~100 (2008)
  15. F. Wang, "Existence and multiplicity results of positive doubly periodic solutions for non- linear telegraph system", J. Math. Anal. Appl, 349(1), pp.30~42 (2009)
  16. X. Yang, "Existence of positive solutions for 2m-order nonlinear differential systems", Nonlinear Anal, 61(1), pp.77~95 (2005)

관련 논문AI추천

Multiplicity results of positive solutions for singular generalized Laplacian systems이용훈, Xianghui Xu대한수학회 · 대한수학회지2019 · 제56권 제5호Existence of Positive Solution for a Semipositone System with Integral Boundary Values고은경, 이은경영남수학회 · East Asian Mathematical Journal2020 · 제36권 제5호Existence of positive solutions for $n \times n$ cycled systems of nonlinear differential equations associated with degenerated $p$-Laplacians손병재, 심인보, Seonguk Kim대한수학회 · 대한수학회지2025 · 제62권 제2호Existence and Multiplicity of Positive Solutions for Singular Generalized Laplacian Problems with a Parameter김찬균영남수학회 · East Asian Mathematical Journal2022 · 제38권 제5호Existence of Positive Solutions for the Second Order Differential Systems with Strongly Coupled Integral Boundary Conditions이은경영남수학회 · East Asian Mathematical Journal2018 · 제34권 제5호EXISTENCE OF POSITIVE SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS WITH BOUNDARY PARAMETER박예나, 이은경영남수학회 · East Asian Mathematical Journal2016 · 제32권 제5호

이 간행물의 다른 논문 (12건)

COVERS OF ALGEBRAIC VARIETIES VI. ANGLO-AMERICAN COVERS AND (1,3)-POLARIZED ABELIAN SURFACESGianfranco Casnatipp. 1-16On boundary regularity of holomorphic correspondencesNabil Ourimipp. 17-30Homological properties of modules over Ding-Chen ringsGang Yangpp. 31-47ℓ-RANKS OF CLASS GROUPS OF FUNCTION FIELDS정환엽, 배성한pp. 49-67Explicit formulas for the Bergman kernel on certain Forelli-Rudin constructionQingbin Li, An Wang, Liyou Zhangpp. 69-83
원문 보기