scholarly journals Solvability of integral boundary value problems at resonance in $R^{n}$

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Shiying Song ◽  
Shuman Meng ◽  
Yujun Cui
Keyword(s):  
Differential Equation ◽  
Boundary Value Problems ◽  
Resonance Condition ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Integral Boundary ◽  
At Resonance ◽  
Matrix Diagonalization ◽  
Integral Boundary Value Problems

Abstract Under a resonance condition involving integral boundary value problems for a second-order nonlinear differential equation in $\mathbb{R}^{n}$ R n , we show its solvability by using the coincidence degree theory of Mawhin and the theory of matrix diagonalization in linear algebra.

scholarly journals Existence of solutions for Erdélyi–Kober fractional integral boundary value problems with $p ( t )$-Laplacian operator

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Xiaohui Shen ◽  
Tengfei Shen
Keyword(s):  
Boundary Value Problems ◽  
Fractional Integral ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Laplacian Operator ◽  
Integral Boundary ◽  
At Resonance ◽  
Integral Boundary Value Problems

Abstract This paper aims to consider the solvability for Erdélyi–Kober fractional integral boundary value problems with $p ( t )$ p ( t ) -Laplacian operator at resonance. By employing the coincidence degree method, some new results on the existence of solutions are acquired.

scholarly journals The Existence of Solutions to Integral Boundary Value Problems of Fractional Differential Equations at Resonance

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Yumei Zou ◽  
Guoping He
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Fractional Differential Equations ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Integral Boundary ◽  
At Resonance ◽  
Fractional Differential ◽  
Integral Boundary Value Problems

This paper deals with the integral boundary value problems of fractional differential equations at resonance. By Mawhin’s coincidence degree theory, we present some new results on the existence of solutions for a class of differential equations of fractional order with integral boundary conditions at resonance. An example is also included to illustrate the main results.

scholarly journals Solvability of a second-order differential equation with integral boundary condition at resonance on an unbounded domain

2013 ◽  
Vol 29 (2) ◽  
pp. 201-208
Author(s):  
XIAOJIE LIN ◽  
◽  
ZENGJI DU ◽  
QIN ZHANG ◽  
◽  
...  
Keyword(s):  
Existence Result ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Second Order ◽  
Integral Boundary ◽  
At Resonance ◽  
General Existence ◽  
Integral Boundary Value Problems

This paper deals with the solvability of two class of second-order integral boundary value problems at resonance on a half-line. Both of the boundary value conditions are responsible for resonance. By using the coincidence degree theory, we establish a new general existence result.

scholarly journals Existence of solutions for functional boundary value problems at resonance on the half-line

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Bingzhi Sun ◽  
Weihua Jiang
Keyword(s):  
Boundary Value Problems ◽  
Banach Spaces ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Half Line ◽  
Projection Scheme ◽  
At Resonance ◽  
Functional Boundary

Abstract By defining the Banach spaces endowed with the appropriate norm, constructing a suitable projection scheme, and using the coincidence degree theory due to Mawhin, we study the existence of solutions for functional boundary value problems at resonance on the half-line with $\operatorname{dim}\operatorname{Ker}L = 1$ dim Ker L = 1 . And an example is given to show that our result here is valid.

scholarly journals Existence and uniqueness criteria for the higher-order Hilfer fractional boundary value problems at resonance

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Yousef Gholami
Keyword(s):  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Higher Order ◽  
Coupled Systems ◽  
At Resonance ◽  
Uniqueness Criteria ◽  
Fractional Boundary Value Problems

Abstract This investigation is devoted to the study of a certain class of coupled systems of higher-order Hilfer fractional boundary value problems at resonance. Combining the coincidence degree theory with the Lipschitz-type continuity conditions on nonlinearities, we present some existence and uniqueness criteria. Finally, to practically implement the obtained theoretical criteria, we give an illustrative application.

scholarly journals Existence of Solutions for Fractional Multi-Point Boundary Value Problems on an Infinite Interval at Resonance

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 126
Author(s):  
Wei Zhang ◽  
Wenbin Liu
Keyword(s):  
Boundary Value Problems ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Existence Results ◽  
Infinite Interval ◽  
Point Boundary ◽  
At Resonance ◽  
The Given

This paper aims to investigate a class of fractional multi-point boundary value problems at resonance on an infinite interval. New existence results are obtained for the given problem using Mawhin’s coincidence degree theory. Moreover, two examples are given to illustrate the main results.

Sign in / Sign up

Export Citation Format

Share Document