Results 11 to 20 of about 2,094 (218)

On the correct formulation of a nonlinear differential equations in Banach space [PDF]

International Journal of Mathematics and Mathematical Sciences, 2001
We study, the existence and uniqueness of the initial value problems in a Banach space E for the abstract nonlinear differential equation (dn−1/dtn−1)(du/dt+Au)=B(t)u+f(t,W(t)), and consider the correct solution of this problem.
Mahmoud M. El-Borai, Osama L. Moustafa, Fayez H. Michael   +2 more
doaj   +4 more sources

Weak Solutions for Nonlinear Fractional Differential Equations in Banach Spaces [PDF]

Discrete Dynamics in Nature and Society, 2012
We discuss the existence of weak solutions for a nonlinear boundary value problem of fractional differential equations in Banach space. Our analysis relies on the Mönch's fixed point theorem combined with the technique of measures of weak noncompactness.
Wen-Xue Zhou, Ying-Xiang Chang, Hai-Zhong Liu   +2 more
doaj   +4 more sources

Existence of solutions of nonlinear differential equations with $\psi$-exponential or $\psi$-ordinary dichotomous linear part in a Banach space

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this article we consider nonlinear differential equations with $\psi$-exponential and $\psi$-ordinary dichotomous linear part in a Banach space. By the help of the fixed point principle of Banach sufficient conditions are found for the existence of ...
Atanaska Georgieva, Hristo Kiskinov, Stepan Kostadinov, Andrey Zahariev   +3 more
doaj   +2 more sources

Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces [PDF]

Abstract and Applied Analysis, 2016
We consider a class of nonlinear discrete-time Volterra equations in Banach spaces. Estimates for the norm of operator-valued functions and the resolvents of quasi-nilpotent operators are used to find sufficient conditions that all solutions of such ...
Rigoberto Medina
doaj   +2 more sources

Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space [PDF]

International Journal of Differential Equations, 2015
We consider nonlinear impulsive differential equations with ψ-exponential and ψ-ordinary dichotomous linear part in a Banach space. By the help of Banach’s fixed-point principle sufficient conditions are found for the existence of ψ-bounded solutions of
Hristo Kiskinov, Andrey Zahariev
doaj   +2 more sources

Existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces

Advances in Difference Equations, 2018
In this paper, the existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces are established under more general conditions by constructing a special Banach space and using cone ...
Peiguo Zhang, Xinan Hao
doaj   +2 more sources

Multiple Solutions for Boundary Value Problems of th-Order Nonlinear Integrodifferential Equations in Banach Spaces [PDF]

Abstract and Applied Analysis, 2013
The boundary value problems of a class of th-order nonlinear integrodifferential equations of mixed type in Banach space are considered, and the existence of three solutions is obtained by using the fixed-point index theory.
Yanlai Chen
doaj   +2 more sources

A nonlinear Bismut–Elworthy formula for HJB equations with quadratic Hamiltonian in Banach spaces [PDF]

, 2020
We consider a Backward Stochastic Differential Equation (BSDE for short) in a Markovian framework for the pair of processes (Y, Z), with generator with quadratic growth with respect to Z.
Addona D., Bandini E., Masiero F.
core   +3 more sources

Existence Results for a Multipoint Fractional Boundary Value Problem in the Fractional Derivative Banach Space

Axioms, 2022
We study a class of nonlinear implicit fractional differential equations subject to nonlocal boundary conditions expressed in terms of nonlinear integro-differential equations.
Djalal Boucenna, Amar Chidouh, Delfim F. M. Torres   +2 more
doaj   +1 more source

An Initial Problem for a Class of Weakly Degenerate Semilinear Equations with Lower Order Fractional Derivatives

Известия Иркутского государственного университета: Серия "Математика", 2021
An initial value problem is studied for a class of evolutionary equations with a weak degeneration, which are nonlinear with respect to lower order fractional Gerasimov – Caputo derivatives.
G.D. Baybulatova, M.V. Plekhanova
doaj   +1 more source