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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)

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  3. 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)
  4. 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)
  5. 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)
  6. D. Jiang, "A generalized periodic boundary value problem for the onedimensional p-Laplacian", Annales Polonici Mathematici, 65(3), pp.265~270 (1997)
  7. 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)
  8. 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)
  9. R. Man´asevich, "Periodic solutions for nonlinear systems with p-Laplacian-like operators", Journal of Differential Equations, 145(2), pp.367~393 (1998)
  10. 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)
  11. I. Rachunkova, "Upper and lower solutions and topological degree", Journal of Mathematical Analysis and Applications, 234(1), pp.311~327 (1999)
  12. I. Rachunkova, "Upper and lower solutions and multiplicity results", Journal of Mathematical Analysis and Applications, 246(2), pp.446~464 (2000)
  13. X. Yang, "Multiple positive solutions of second-order differential equations", NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 62(1), pp.107~116 (2005)

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