Results 31 to 40 of about 76 (75)

Local existence result of the single dopant diffusion including cluster reactions of high order

open access: yesAbstract and Applied Analysis, Volume 6, Issue 1, Page 13-34, 2001., 2001
We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions. The model includes a nonlinear system of reaction‐drift‐diffusion equations, a nonlinear system of ordinary differential equations in Banach spaces, and a nonlinear elliptic ...
R. Bader, W. Merz
wiley   +1 more source

Nonlocal conditions for differential inclusions in the space of functions of bounded variations

open access: yesAdvances in Difference Equations, 2011
We discuss the existence of solutions of an abstract differential inclusion, with a right-hand side of bounded variation and subject to a nonlocal initial condition of integral type.
Boucherif Abdelkader, Agarwal Ravi
doaj  

Second order evolution equations with nonlocal conditions

open access: yesDemonstratio Mathematica, 2017
In this paper, we shall establish sufficient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces.
Benchohra Mouffak   +2 more
doaj   +1 more source

Bifurcation analysis and investigations of optical soliton solutions to fractional generalized third-order nonlinear Schrödinger equation

open access: yesOpen Physics
This study investigates the optical soliton solutions to the generalized third-order nonlinear Schrödinger equation involving the Caputo fractional derivative using new mapping method. The fractional generalized third-order nonlinear Schrödinger equation
Inayat Moazzma   +5 more
doaj   +1 more source

Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems

open access: yesAdvances in Difference Equations, 2011
In this article, sufficient conditions for the existence result of quasilinear multi-delay integro-differential equations of fractional orders with nonlocal impulsive conditions in Banach spaces have been presented using fractional calculus, resolvent ...
Debbouche Amar
doaj  

On the existence of bound and ground states for some coupled nonlinear Schrödinger–Korteweg–de Vries equations

open access: yesAdvances in Nonlinear Analysis, 2017
We show the existence of positive bound and ground states for a system of coupled nonlinear Schrödinger–Korteweg–de Vries equations. More precisely, we prove that there exists a positive radially symmetric ground state if either the coupling coefficient ...
Colorado Eduardo
doaj   +1 more source

Sensitivity analysis for optimal control problems governed by nonlinear evolution inclusions

open access: yesAdvances in Nonlinear Analysis, 2017
We consider a nonlinear optimal control problem governed by a nonlinear evolution inclusion and depending on a parameter λ. First we examine the dynamics of the problem and establish the nonemptiness of the solution set and produce continuous selections ...
Papageorgiou Nikolaos S.   +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

Nonhomogeneous nonlinear oscillator with damping: asymptotic analysis in continuous and discrete time

open access: yesDemonstratio Mathematica, 2019
We consider the following second order evolution equation modelling a nonlinear oscillator with ...
Rouhani Behzad Djafari   +1 more
doaj   +1 more source

Transformation of p-gradient flows to p′-gradient flows in metric spaces

open access: yesAnalysis and Geometry in Metric Spaces
We explicitly construct parameter transformations between gradient flows in metric spaces, called curves of maximal slope, having different exponents when the associated function and the associated metric space satisfy a suitable convexity condition ...
Shimoyama Sho
doaj   +1 more source

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