scholarly journals Existence Theory of Differential Equations of Arbitrary

2018 ◽  
Author(s):  
Kamal Shah ◽  
Yongjin Li
Keyword(s):  
Differential Equations ◽  
Existence Theory

A Existence Theory for Positive Solutions to Superlinear Repulsive Singular Differential Equations with Impulse Effects

2010 ◽  
Vol 40-41 ◽  
pp. 149-155
Author(s):  
Zhang Xiao Ying ◽  
Guan Li Hong
Keyword(s):  
Periodic Solution ◽  
Differential Equations ◽  
Singular Perturbation ◽  
Positive Solutions ◽  
Existence Theory ◽  
Singular Differential Equations ◽  
Perturbation Problem ◽  
Nonlinear Alternative

In this paper, we study positive solutions to the repulsive singular perturbation Hill equations with impulse effects. It is proved that such a perturbation problem has at least one positive impulsive periodic solution by a nonlinear alternative of Leray--Schauder.

scholarly journals Existence Theory for th Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Bashir Ahmad ◽  
Sotiris K. Ntouyas ◽  
Hamed H. Alsulami
Keyword(s):  
Differential Equations ◽  
Fixed Point Theorems ◽  
Integral Boundary Conditions ◽  
Existence Theory ◽  
Uniqueness Of Solutions ◽  
Order Problem ◽  
Integral Boundary ◽  
Integral Boundary Value Problems ◽  
Nonlocal Integral Boundary Conditions ◽  
Higher Order Problem

This paper is devoted to the study of the existence and uniqueness of solutions for th order differential equations with nonlocal integral boundary conditions. Our results are based on a variety of fixed point theorems. Some illustrative examples are discussed. We also discuss the Caputo type fractional analogue of the higher-order problem of ordinary differential equations.

Sign in / Sign up

Export Citation Format

Share Document