Existence of Solutions for a Nonlocal Boundary Value Problem at Resonance on the Half-Line

S. Djafri; T. Moussaoui; D. O’Regan

doi:10.1007/s12591-019-00490-y

Existence of Solutions for a Nonlocal Boundary Value Problem at Resonance on the Half-Line

S. Djafri
, T. Moussaoui
, D. O’Regan

Mathematics

University of Sciences and Technology Houari Boumedienne
École Normale Supérieure

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper we are interested in the existence of solutions for the following boundary value problem at resonance on the half-line [Figure not available: see fulltext.]where f: R⁺× R²→ R is q-Carathéodory, g: R⁺→ R⁺ is a nondecreasing function with g(0) = 0 under the resonance condition g(∞) = 1. The coincidence degree theory of Mawhin [17] is used to establish the existence of at least one solution for the posed problem.

Original language	English
Pages (from-to)	69-80
Number of pages	12
Journal	Differential Equations and Dynamical Systems
Volume	31
Issue number	1
DOIs	https://doi.org/10.1007/s12591-019-00490-y
Publication status	Published - Jan 2023

Keywords

Boundary value problem
Coincidence degree
Resonance
Unbounded interval

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10.1007/s12591-019-00490-y

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abstract = "In this paper we are interested in the existence of solutions for the following boundary value problem at resonance on the half-line [Figure not available: see fulltext.]where f: R+× R2→ R is q-Carath{\'e}odory, g: R+→ R+ is a nondecreasing function with g(0) = 0 under the resonance condition g(∞) = 1. The coincidence degree theory of Mawhin [17] is used to establish the existence of at least one solution for the posed problem.",

keywords = "Boundary value problem, Coincidence degree, Resonance, Unbounded interval",

author = "S. Djafri and T. Moussaoui and D. O{\textquoteright}Regan",

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doi = "10.1007/s12591-019-00490-y",

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AU - O’Regan, D.

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Y1 - 2023/1

N2 - In this paper we are interested in the existence of solutions for the following boundary value problem at resonance on the half-line [Figure not available: see fulltext.]where f: R+× R2→ R is q-Carathéodory, g: R+→ R+ is a nondecreasing function with g(0) = 0 under the resonance condition g(∞) = 1. The coincidence degree theory of Mawhin [17] is used to establish the existence of at least one solution for the posed problem.

AB - In this paper we are interested in the existence of solutions for the following boundary value problem at resonance on the half-line [Figure not available: see fulltext.]where f: R+× R2→ R is q-Carathéodory, g: R+→ R+ is a nondecreasing function with g(0) = 0 under the resonance condition g(∞) = 1. The coincidence degree theory of Mawhin [17] is used to establish the existence of at least one solution for the posed problem.

KW - Boundary value problem

KW - Coincidence degree

KW - Resonance

KW - Unbounded interval

UR - https://www.scopus.com/pages/publications/85073984413

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SP - 69

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JO - Differential Equations and Dynamical Systems

JF - Differential Equations and Dynamical Systems

IS - 1

ER -

Existence of Solutions for a Nonlocal Boundary Value Problem at Resonance on the Half-Line

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Keywords

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