Sign-Changing and Multiple Solutions of Impulsive Boundary Value Problems Via Critical Point Methods

2014 ◽  
Vol 20 (4) ◽  
pp. 559-574 ◽  
Author(s):  
Yu Tian ◽  
Weigao Ge ◽  
Donal O’Regan
Keyword(s):  
Boundary Value Problems ◽  
Critical Point ◽  
Multiple Solutions ◽  
Boundary Value ◽  
Impulsive Boundary Value Problems

scholarly journals Existence of Multiple Solutions for a Class ofn-Dimensional Discrete Boundary Value Problems

2010 ◽  
Vol 2010 ◽  
pp. 1-14 ◽  
Author(s):  
Weiming Tan ◽  
Zhan Zhou
Keyword(s):  
Boundary Value Problems ◽  
Critical Point ◽  
Critical Point Theory ◽  
Multiple Solutions ◽  
Boundary Value ◽  
Point Theory

By using critical point theory, we obtain some new results on the existence of multiple solutions for a class ofn-dimensional discrete boundary value problems. Results obtained extend or improve existing ones.

scholarly journals Multiple Solutions for the Discretep-Laplacian Boundary Value Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Yuhua Long ◽  
Haiping Shi
Keyword(s):  
Boundary Value Problems ◽  
Critical Point ◽  
Point Theorem ◽  
Difference Equations ◽  
Multiple Solutions ◽  
Boundary Value ◽  
Laplacian Operator ◽  
Nonlinear Difference Equations ◽  
Critical Point Theorem

By employing a critical point theorem, established by Bonanno, we prove the existence of three distinct solutions to boundary value problems of nonlinear difference equations with a discretep-Laplacian operator. To demonstrate the applicability of our results, we also present an example.

scholarly journals Multiple solutions for discrete boundary value problems

2009 ◽  
Vol 356 (2) ◽  
pp. 418-428 ◽  
Author(s):  
Alberto Cabada ◽  
Antonio Iannizzotto ◽  
Stepan Tersian
Keyword(s):  
Boundary Value Problems ◽  
Multiple Solutions ◽  
Boundary Value
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