Results 11 to 20 of about 55 (55)

A nonlinear impulsive Intergro-differential system with infinite memory [PDF]

open access: yes, 2014
In the present paper, we investigate the existence and uniqueness of periodic solution of a nonlinearimpulsive first order Integro-Differential system by innovatively applying the method of periodicsuccessive approximations of Samoilenko.A.M. [5]2000 AMS
Alhaddad, Hamood A.K., Rangarajan, R.
core   +1 more source

On an abstract nonlinear second order integrodifferential equation

open access: yesJournal of Function Spaces, Volume 5, Issue 2, Page 167-174, 2007., 2007
The aim of the present paper is to study the global existence of solutions of nonlinear second order integrodifferential equation in Banach space. Our analysis is based on an application of the Leray‐Schauder alternative and rely on a priori bounds of solutions.
M. B. Dhakne, G. B. Lamb, Nigel Kalton
wiley   +1 more source

The trajectory‐coherent approximation and the system of moments for the Hartree type equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 6, Page 325-370, 2002., 2002
The general construction of semiclassically concentrated solutions to the Hartree type equation, based on the complex WKB‐Maslov method, is presented. The formal solutions of the Cauchy problem for this equation, asymptotic in small parameter ℏ (ℏ → 0), are constructed with a power accuracy of O(ℏ N/2), where N is any natural number.
V. V. Belov   +2 more
wiley   +1 more source

Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent

open access: yesAdvances in Nonlinear Analysis, 2019
This paper concerns the existence and multiplicity of solutions for the Schrődinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent.
Xiang Mingqi   +2 more
doaj   +1 more source

Existence and uniqueness of continuous solution of mixed type integra equations in cone metric space

open access: yes, 1970
In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equations in cone metric spaces. The result is obtained by using the some extensions of Banach's contraction principle in complete cone metric space ...
HL Tidke, CT Aage, JN Salunke
core   +1 more source

On a Singular Value Problem for the Fractional Laplacian on the Exterior of the Unit Ball [PDF]

open access: yes, 2005
2000 Mathematics Subject Classification: Primary 26A33; Secondary 47G20, 31B05We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ...
Kefi, Khaled, Bezzarga, Mounir
core  

Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations

open access: yesAdvances in Nonlinear Analysis, 2016
The purpose of this paper is mainly to investigate the existence of entire solutions of the stationary Kirchhoff type equations driven by the fractional p-Laplacian operator in ℝN.
Pucci Patrizia   +2 more
doaj   +1 more source

Existence and Successive Approximations of Mild Solution for Integro-differential Equations in Banach Spaces

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science
This paper discusses the global convergence of successive approximations methods for solving integro-differential equation via resolvent operators in Banach spaces.
Bensatal Kattar Enada   +2 more
doaj   +1 more source

A Nonhomogeneous Fractional p-Kirchhoff Type Problem Involving Critical Exponent in ℝN

open access: yesAdvanced Nonlinear Studies, 2017
This paper concerns itself with the nonexistence and multiplicity of solutions for the following fractional Kirchhoff-type problem involving the critical Sobolev exponent:
Xiang Mingqi, Zhang Binlin, Zhang Xia
doaj   +1 more source

Choquard equations with recurrent potentials

open access: yesAdvances in Nonlinear Analysis
In this article, we are concerned with the existence of nontrivial solutions to the Choquard equation −Δu+α(x)u=(∣x∣−μ∗∣u∣q)∣u∣q−2uinRN(N≥2),-\Delta u+\alpha \left(x)u=\left({| x| }^{-\mu }\ast {| u| }^{q}){| u| }^{q-2}u\hspace{1.0em}\hspace{0.1em}\text ...
Ding Hui-Sheng   +3 more
doaj   +1 more source

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