EXISTENCE OF THREE SOLUTIONS FOR PERTURBED NONLINEAR DIFFERENCE EQUATIONS

被引:9
作者
Heidarkhani, Shapour [1 ]
Moghadam, Mohsen Khaleghi [2 ]
机构
[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran
[2] Agr & Nat Source Univ, Dept Basic Sci, Sari, Iran
关键词
nonlinear difference equations; discrete boundary value problem; three solutions; critical point theory; variational methods;
D O I
10.7494/OpMath.2014.34.4.747
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using critical point theory, we study the existence of at least three solutions for perturbed nonlinear difference equations with discrete boundary-value condition depending on two positive parameters.
引用
收藏
页码:747 / 761
页数:15
相关论文
共 28 条
[1]  
Agarwal R. P, 2000, MONOGRAPHS TXB PURE, V2
[2]  
Agarwal RP, 2004, NONLINEAR ANAL-THEOR, V58, P69, DOI 10.1016/j.na.2004.11.012
[3]  
Bisci G. Molica, EXPOSITIONE IN PRESS
[4]   On some variational algebraic problems [J].
Bisci, Giovanni Molica ;
Repovs, Dusan .
ADVANCES IN NONLINEAR ANALYSIS, 2013, 2 (02) :127-146
[5]   Nonlinear algebraic systems with discontinuous terms [J].
Bisci, Giovanni Molica ;
Repovs, Dusan .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 398 (02) :846-856
[6]   Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities [J].
Bonanno, Gabriele ;
Candito, Pasquale .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (12) :3031-3059
[7]   On the structure of the critical set of non-differentiable functions with a weak compactness condition [J].
Bonanno, Gabriele ;
Marano, Salvatore A. .
APPLICABLE ANALYSIS, 2010, 89 (01) :1-10
[8]   Infinitely many solutions for a class of discrete non-linear boundary value problems [J].
Bonanno, Gabriele ;
Candito, Pasquale .
APPLICABLE ANALYSIS, 2009, 88 (04) :605-616
[9]   Nonlinear difference equations investigated via critical point methods [J].
Bonanno, Gabriele ;
Candito, Pasquale .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) :3180-3186
[10]   Multiple solutions for discrete boundary value problems [J].
Cabada, Alberto ;
Iannizzotto, Antonio ;
Tersian, Stepan .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (02) :418-428