scholarly journals Existence of Infinitely Many Periodic Solutions for Perturbed Semilinear Fourth-Order Impulsive Differential Inclusions

2016 ◽  
Vol 2016 ◽  
pp. 1-12
Author(s):  
Massimiliano Ferrara ◽  
Giuseppe Caristi ◽  
Amjad Salari
Keyword(s):  
Critical Point ◽  
Periodic Solutions ◽  
Differential Inclusion ◽  
Point Theorem ◽  
Fourth Order ◽  
Differential Inclusions ◽  
Critical Point Theorem ◽  
Impulsive Differential Inclusions ◽  
Two Parameters ◽  
Infinitely Many Periodic Solutions

This paper discusses the existence of infinitely many periodic solutions for a semilinear fourth-order impulsive differential inclusion with a perturbed nonlinearity and two parameters. The approach is based on a critical point theorem for nonsmooth functionals.

scholarly journals Periodic Solutions for Semilinear Fourth-Order Differential Inclusions via Nonsmooth Critical Point Theory

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Bian-Xia Yang ◽  
Hong-Rui Sun
Keyword(s):  
Critical Point ◽  
Periodic Solutions ◽  
Fourth Order ◽  
Critical Point Theory ◽  
Differential Inclusions ◽  
Point Theory ◽  
Nonsmooth Critical Point Theory ◽  
Critical Point Theorem ◽  
Related Literature ◽  
Nonsmooth Critical Point

Three periodic solutions with prescribed wavelength for a class of semilinear fourth-order differential inclusions are obtained by using a nonsmooth version critical point theorem. Some results of previous related literature are extended.

scholarly journals Three Solutions for Fourth-Order Impulsive Differential Inclusions via Nonsmooth Critical Point Theory

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Dongdong Gao ◽  
Jianli Li
Keyword(s):  
Critical Point ◽  
Fourth Order ◽  
Critical Point Theory ◽  
Differential Inclusions ◽  
Point Theory ◽  
Three Solutions ◽  
Nonsmooth Critical Point Theory ◽  
Critical Point Theorem ◽  
Impulsive Differential Inclusions ◽  
Nonsmooth Critical Point

An existence of at least three solutions for a fourth-order impulsive differential inclusion will be obtained by applying a nonsmooth version of a three-critical-point theorem. Our results generalize and improve some known results.

Impulsive differential inclusions via variational method

2017 ◽  
Vol 24 (3) ◽  
pp. 313-323 ◽  
Author(s):  
Mouffak Benchohra ◽  
Juan J. Nieto ◽  
Abdelghani Ouahab
Keyword(s):  
Variational Method ◽  
Critical Point ◽  
Differential Inclusion ◽  
Critical Point Theory ◽  
Differential Inclusions ◽  
Point Theory ◽  
Existence Results ◽  
Second Order ◽  
Impulsive Differential Inclusions

AbstractIn this paper, we establish several results about the existence of second-order impulsive differential inclusion with periodic conditions. By using critical point theory, several new existence results are obtained. We also provide an example in order to illustrate the main abstract results of this paper.

Infinitely many solutions for a class of fourth-order impulsive differential equations

2019 ◽  
Vol 10 (1) ◽  
pp. 7-16
Author(s):  
Saeid Shokooh ◽  
Ghasem A. Afrouzi
Keyword(s):  
Differential Equations ◽  
Critical Point ◽  
Point Theorem ◽  
Fourth Order ◽  
Impulsive Differential Equations ◽  
Infinitely Many Solutions ◽  
Critical Point Theorem

AbstractIn this paper, by employing a critical point theorem, we establish the existence of infinitely many solutions for fourth-order impulsive differential equations depending on two real parameters.

The Multiplicity of Solutions for a Class of Nonlinear Fractional Dirichlet Boundary Value Problems with p-Laplacian Type via Variational Approach

2019 ◽  
Vol 20 (3-4) ◽  
pp. 361-371
Author(s):  
Dongping Li ◽  
Fangqi Chen ◽  
Yukun An
Keyword(s):  
Variational Methods ◽  
Boundary Value Problems ◽  
Critical Point ◽  
Point Theorem ◽  
Weak Solutions ◽  
Variational Approach ◽  
Dirichlet Boundary ◽  
Coupled Systems ◽  
Critical Point Theorem ◽  
Two Parameters

AbstractIn this paper, by using variational methods and a critical point theorem due to Bonanno and Marano, the existence of at least three weak solutions is obtained for a class of p-Laplacian type nonlinear fractional coupled systems depending on two parameters. Two examples are given to illustrate the applications of our main results.

scholarly journals Three solutions to discrete anisotropic problems with two parameters

2014 ◽  
Vol 12 (10) ◽  
Author(s):  
Marek Galewski ◽  
Piotr Kowalski
Keyword(s):  
Critical Point ◽  
Point Theorem ◽  
Three Solutions ◽  
Critical Point Theorem ◽  
Multiplicity Of Solutions ◽  
Anisotropic Problems ◽  
Two Parameters

AbstractIn this note we derive a type of a three critical point theorem which we further apply to investigate the multiplicity of solutions to discrete anisotropic problems with two parameters.

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