본문 바로가기
KERD
논문KCI 등재

On periodic boundary value problems of higher order nonlinear functional difference equations with p-Laplacian

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

Motivated by [Linear Algebra and its Appl. 420(2007), 218-227] and [Linear Algebra and its Appl. 425(2007), 171-183], we, in this paper, study the solvability of periodic boundary value problems of higher order nonlinear functional difference equations with p-Laplacian. Sufficient conditions for the existence of at least one solution of this problem are established.

Abstract

Motivated by [Linear Algebra and its Appl. 420(2007), 218-227] and [Linear Algebra and its Appl. 425(2007), 171-183], we, in this paper, study the solvability of periodic boundary value problems of higher order nonlinear functional difference equations with p-Laplacian. Sufficient conditions for the existence of at least one solution of this problem are established.

참고문헌 (11)

  1. R. P. Agarwal, "Focal Boundary Value Problems for Differential and Difference Equations" (1998), Kluwer
  2. R. P. Agarwal, "Positive Solutions of Differential, Difference and Integral Equations" (1999), Kluwer Academic Publishers
  3. F. M. Atici, "Existence and uniqueness results for discrete second order periodic boundary value problems", Comput. Math. with Appl., 45, pp.1417~1427 (2003)
  4. F. M. Atici, "Positive periodic solutions for nonlinear difference equations with periodic coefficients", J. Math. Anal. Appl., 232, pp.166~182 (1999)
  5. A. Cabada, "Extremal solutions for the difference ϕ8-Laplacian problem with functiona l boundary value conditions", Comput. Math. Appl., 42, pp.593~601 (2001)
  6. A. Cabada, "Existence and comparison results for difference ϕ0-Laplacian boundary value problems with lower and upper solutions in reverse order", J. Math. Anal. Appl., 267, pp.501~521 (2002)
  7. K. Deimling, "Nonlinear Functional Analysis" (1985), Springer-Verlag
  8. J. Ji, "Eigenvalue comparisons for boundary value problems for second order difference equations", J. Math. Anal. Appl., 320, pp.964~972 (2006)
  9. J. Ji, "Eigenvalue comparisons for a class of boundary value problems of second order difference equations", Linear Algebra and its Appl., 420, pp.218~227 (2007)
  10. J. Ji, "Eigenvalue comparisons for a class of boundary value problems of second order difference equations", Linear Algebra and its Appl., 420, pp.218~227 (2007)
  11. V. L. Kocic, "Global Behavior of Nonlinear Difference Equations of Higher Order with Applications" (1993), Klower Academic Publishers

관련 논문AI추천

이 간행물의 다른 논문 (12건)