EXISTENCE OF POSITIVE PERIODIC SOLUTIONS TO A SECOND-ORDER DIFFERENTIAL INCLUSION_论文_百度文库
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Chin. Quart. J. of Math.
253―266 Periodic Solutions for
Some Second-order Di?erential System with p
t -Laplacian WANG Qi, LU Di-cheng, MA Qi, DAI Jin School of Mathematical Sciences, Anhui University, Hefei 230601, China Abstract:
investigate
of nonautonomous
second-order
di?erential
systems with
t -Laplacian.
multiplicity results are obtained by using critical point theory, which extend some known results. Key words: di?erential systems with p
t -L critical point theory 2000
Classi?cation: 34C25, 58E05, 70H05 CLC
number: O175.1 Document
3C14 §1. Introduction In recent years there has been an increasing interest in the study of various mathematical
problems with variable exponents.
The main references in this ?eld can be found in an overview
applications
t -Laplacian
equations,
[2-4]. The
solutions periodic
solutions,
homoclinic
t -Laplacian
or p-Laplacian
has been studied by several authors see e.g.
[5-16, 23-30] , where p
including p
by using minimax methodss in critical point theory, Wang and Ruan obtained some existence
theorems for the following p
t -Laplacian system d p
t, u t 0, 1.1 u 0
multiplicity
nonautonomous
second-order di?erential system with p
t -Laplacian system d p
+ |u t | u t
a.e. t ∈ [0, T ], 1.2 u 0
T 0, Received date:
Foundation item: Supported by the Natural Science Foundation of Anhui Province , 1208085
; Supported
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