Existence of positive solutions for second order impulsive differential equations with integral boundary conditions on the real line

Karaca, Ilkay Yaslan; Aksoy, Sezgi

doi:10.2298/fil2112197k

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There are many results in the literature regarding the existence of solutions to impulsive BVPs, e.g. [2,3,[10][11][12]. Below, we mention some recent results about impulsive BVPs on unbounded domains.…”

Section: Introductionmentioning

confidence: 99%

Existence of solutions for impulsive boundary value problems on infinite intervals

DOĞRU AKGÖL

2023

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

View full text Add to dashboard Cite

The paper deals with the existence of solutions for a general class of second-order nonlinear impulsive boundary value problems defined on an infinite interval. The main innovative aspects of the study are that the results are obtained under relatively mild conditions and the use of principal and nonprincipal solutions that were obtained in a very recent study. Additional results about the existence of bounded solutions are also provided, and theoretical results are supported by an illustrative example.

show abstract

Section: Introductionmentioning

confidence: 99%

Existence of solutions for impulsive boundary value problems on infinite intervals

DOĞRU AKGÖL

2023

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

View full text Add to dashboard Cite

show abstract

Existence of Homoclinic Orbits of a Class of Second-Order Quasilinear Schrödinger Equations With Delay

Guo,

Chen,

Liu

et al. 2023

Rocky Mountain J. Math.

View full text Add to dashboard Cite

Existence of solutions to nonlinear impulsive fuzzy differential equations

Liu

Wang

O’Regan

2023

Filomat

View full text Add to dashboard Cite

In this article, we establish the existence and uniqueness of (c1)-differentiable and (c2)- differentiable solutions to first-order nonlinear impulsive fuzzy differential equations under generalized Hukuhara differentiability using the contraction mappings principle. In particular, (c1)-differentiable solutions are written as hyperbolic cosine and sine functions with impulsive terms, which is the main difficulty. An example is provided to prove our results.

show abstract

Existence of positive solutions for second order impulsive differential equations with integral boundary conditions on the real line

Abstract: This paper is denoted to study the existence of impulsive differential equations involving integral boundary conditions on the whole line by means of the Leray-Schauder Nonlinear Alternative theorem. An example is demonstrated the effectiveness of the our main result.

Cited by 3 publications

References 20 publications

Existence of solutions for impulsive boundary value problems on infinite intervals

Existence of solutions for impulsive boundary value problems on infinite intervals

Existence of Homoclinic Orbits of a Class of Second-Order Quasilinear Schrödinger Equations With Delay

Existence of solutions to nonlinear impulsive fuzzy differential equations

Contact Info

Product

Resources

About