scholarly journals Nontrivial Solutions for a System of Second-Order Discrete Boundary Value Problems

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Hua Su ◽  
Yongqing Wang ◽  
Jiafa Xu
Keyword(s):  
Linear Operator ◽  
Boundary Value Problems ◽  
Topological Degree ◽  
Boundary Value ◽  
Degree Theory ◽  
Second Order ◽  
Topological Degree Theory ◽  
Nontrivial Solutions

In this work, we shall study the existence of nontrivial solutions for a system of second-order discrete boundary value problems. Under some conditions concerning the eigenvalues of relevant linear operator, we use the topological degree theory to obtain our main results.

scholarly journals Nontrivial Solutions for the 2 n th Lidstone Boundary Value Problem

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Yaohong Li ◽  
Jiafa Xu ◽  
Yongli Zan
Keyword(s):  
Linear Operator ◽  
Boundary Value Problem ◽  
Topological Degree ◽  
Boundary Value ◽  
Degree Theory ◽  
Topological Degree Theory ◽  
Nontrivial Solutions

In this paper, we study the existence of nontrivial solutions for the 2 n th Lidstone boundary value problem with a sign-changing nonlinearity. Under some conditions involving the eigenvalues of a linear operator, we use the topological degree theory to obtain our main results.

scholarly journals Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Yansheng Liu
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Topological Degree ◽  
Boundary Value ◽  
Degree Theory ◽  
Topological Degree Theory ◽  
Existence Of Positive Solutions ◽  
Fractional Differential

This paper is concerned with the existence of positive solutions for a class of boundary value problems of fractional differential equations with parameter. The main tools used here are bifurcation techniques and topological degree theory. Finally, an example is worked out to demonstrate the main result.

scholarly journals Topological essentiality and differential inclusions

1992 ◽  
Vol 45 (2) ◽  
pp. 177-193 ◽  
Author(s):  
Lech Gorniewicz ◽  
Miroslaw Slosarski
Keyword(s):  
Boundary Value Problems ◽  
Large Class ◽  
Differential Inclusion ◽  
Topological Degree ◽  
Differential Inclusions ◽  
Boundary Value ◽  
Degree Theory ◽  
Multivalued Mappings ◽  
Topological Degree Theory ◽  
Lower Semi

In the present paper a concept of topological essentiality for a large class of multivalued mappings is introduced. This concept is strictly related to the Leray-Schauder topological degree theory but is simpler and also more general. Applying the above concept to boundary value problems for differential inclusion with both upper semi-continuous and lower semi-continuous right hand sides, several new results are obtained.

scholarly journals Bifurcation of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Inclusions

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Yansheng Liu ◽  
Huimin Yu
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Topological Degree ◽  
Differential Inclusions ◽  
Boundary Value ◽  
Degree Theory ◽  
Fractional Differential Inclusions ◽  
Topological Degree Theory ◽  
Existence Of Positive Solutions ◽  
Fractional Differential

Using Krein-Rutman theorem, topological degree theory, and bifurcation techniques, this paper investigates the existence of positive solutions for a class of boundary value problems of fractional differential inclusions.

Existence of Two Solutions for a Second-Order Discrete Boundary Value Problem

2011 ◽  
Vol 11 (2) ◽  
Author(s):  
Pasquale Candito ◽  
Giovanni Molica Bisci
Keyword(s):  
Boundary Value Problem ◽  
Variational Methods ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Second Order ◽  
Nontrivial Solutions ◽  
Discrete Boundary Value Problem

AbstractThe existence of two nontrivial solutions for a class of nonlinear second-order discrete boundary value problems is established. The approach adopted is based on variational methods.

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