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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

EXISTENCE OF PERIODIC SOLUTIONS FOR A GENERAL CLASS OF p-LAPLACIAN EQUATIONS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.1, pp.87-95
https://doi.org/10.7468/jksmeb.2011.18.1.087
Kim, Yong-In

Abstract

The existence of T-periodic solutions for a general class of p-Laplacian equations is investigated. By using coincidence degree theory, some existence and uniqueness results, which generalize some earlier works on this topic, are presented.

keywords
p-Laplacian, degree theory, periodic solution

Reference

1.

(1999). . Appl. Math. Lett., 12, 41-44. 10.1016/S0893-9659(98)00169-4.

2.

(2003). . J. London Math. Soc., 68(2), 119-132. 10.1112/S0024610703004459.

3.

(2008). . Proc. Royal Soc. Edinburg, 138A, 15-32.

4.

5.

(1977). .

6.

(2008). . J. Comput. Appl. Math., 221, 98-105. 10.1016/j.cam.2007.10.005.

7.

(2004). . Nonlinear analysis: TAM, 56, 501-514. 10.1016/j.na.2003.09.021.

8.

(2007). . J. Math. Anal. Appl., 325, 685-702. 10.1016/j.jmaa.2006.02.005.

9.

(1998). . J. Diff. Equations, 145, 367-393. 10.1006/jdeq.1998.3425.

10.

(2010). . Nonlinear Analysis : RWA, 11, 99-105. 10.1016/j.nonrwa.2008.10.018.

11.

(2005). . Bull. London Math. Soc., 37, 566-574. 10.1112/S0024609305004601.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics