논문KCI 등재
MULTIPLE PERIODIC SOLUTIONS OF p-LAPLACIAN EQUATION WITH ONE-SIDE NAGUMO CONDITION
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초록
In this paper, the existence and multiplicity of solution of periodic solutions of p-Laplacian boundary value problem are studied by using degree theory and upper and lower solutions method. Some known results are improved.
Abstract
In this paper, the existence and multiplicity of solution of periodic solutions of p-Laplacian boundary value problem are studied by using degree theory and upper and lower solutions method. Some known results are improved.
참고문헌 (13)
- K. Deimling, "Nonlinear Functional Analysis" (1985), Springer-Verlag
- M. Del Pino, "A homotopic deformation along p of a Leray-Schauder degree result and existence for (|u′|p−2u′)′+f(t, u) = 0, u(0) = u(T) = 0, p > 1", Journal of Differential Equations, 80(1), pp.1~13 (1989)
- M. Garc´ıa-Huidobro, "Solvability for a nonlinear threepoint boundary value problem with p-Laplacian-like operator at resonance", Abstract and Applied Analysis, (4), pp.191~213 (2001)
- A. Granas, "Some general existence principles in the Caratheodory theory of nonlinear differential systems", Journal de Mathématiques Pures et Appliquées, 70(2), pp.153~196 (1991)
- D. Jiang, "Upper and lower solution method and a singular boundary value problem for the one-dimensional p-Laplacian", Journal of Mathematical Analysis and Applications, 252(2), pp.631~648 (2000)
- D. Jiang, "A generalized periodic boundary value problem for the onedimensional p-Laplacian", Annales Polonici Mathematici, 65(3), pp.265~270 (1997)
- L. Lian, "The existence of solutions of m-point p-Laplacian boundary value problems at resonance", Acta Mathematicae Applicatae Sinica, 28(2), pp.288~295 (2005)
- B. Liu, "Existence of solutions for the periodic boundary value problems with p-Laplacian operator", Journal of Systems Science and Mathematical Science, 23(1), pp.76~85 (2003)
- R. Man´asevich, "Periodic solutions for nonlinear systems with p-Laplacian-like operators", Journal of Differential Equations, 145(2), pp.367~393 (1998)
- D. O’regan, "Some general existence principles and results for (ϕ(y′))′ = qf(t, y, y′), 0 < t < 1", SIAM Journal on Mathematical Analysis, 24(3), pp.648~668 (1993)
- I. Rachunkova, "Upper and lower solutions and topological degree", Journal of Mathematical Analysis and Applications, 234(1), pp.311~327 (1999)
- I. Rachunkova, "Upper and lower solutions and multiplicity results", Journal of Mathematical Analysis and Applications, 246(2), pp.446~464 (2000)
- X. Yang, "Multiple positive solutions of second-order differential equations", NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 62(1), pp.107~116 (2005)
관련 논문AI추천
EXISTENCE OF PERIODIC SOLUTIONS FOR A GENERAL CLASS OF p-LAPLACIAN EQUATIONS김용인한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A CLASS OF p-LAPLACIAN EQUATIONS김용인한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제2호ANTI-PERIODIC SOLUTIONS FOR HIGHER-ORDER LIENARD TYPE DIFFERENTIAL EQUATION WITH p-LAPLACIAN OPERATORTaiyong Chen, Wenbin Liu대한수학회 · 대한수학회보2012 · 제49권 제3호POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR p-LAPLACIAN WITH SIGN-CHANGING NONLINEAR TERMSWanyin Xu, Xiangfeng Li대한수학회 · 대한수학회보2010 · 제47권 제2호ANTI-PERIODIC SOLUTIONS FOR HIGHER-ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONSHui Xing Zhang, Jian Jun Zhang, Tai Yong Chen, Wen Bin Liu대한수학회 · 대한수학회지2010 · 제47권 제3호Multiple periodic solutions of second-order ordinary differential equations across resonanceHua Cai, Xiaojun Chang, Xin Zhao대한수학회 · 대한수학회보2014 · 제51권 제5호
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