Results 121 to 130 of about 2,094 (218)

Existence of positive solutions to some impulsive second-order integrodifferential equations

open access: yesElectronic Journal of Differential Equations, 2010
In this article, we consider an initial-value problem for second-order nonlinear integrodifferential equations with impulses in a Banach space. By using the monotone iterative technique in a cone together with Arzela-Ascoli theorem and the dominated ...
Rahima Atmania
doaj  

Nonlocal cauchy problem for integrodifferential equations of Sobolev type in Banach space

open access: yes, 2013
In this paper, we prove the existence and uniqueness of mild and strong solutions of nonlinear integrodifferential equations of Sobolev type in Banach space.
Mohd Aizat bin Mohamad Nor
core  

An improved semilocal convergence analysis for the midpoint method

open access: yesJournal of Numerical Analysis and Approximation Theory, 2016
We expand the applicability of the midpoint method for approximating a locally unique solution of nonlinear equations in a Banach space setting. Our majorizing sequences are finer than the known results in scientific literature [1,3,4,5,6,7,8,9,10,11,19,
Ioannis K. Argyros, Sanjay K. Khattri
doaj  

Second order differential equations in Banach space

open access: yes
The theory of second-order differential equations in Banach space is surveyed. An introduction of certain selected aspects of the subject is attempted, rather than a complete discussion.
Webb, G.F., Travis, C.C.
core  

Existence of Mild and Classical Solutions of Nonlinear Integrodifferential Equation in Banach Space

open access: yes, 2014
In this paper, we use the theory of analytic semigroups to prove the existence and uniqueness of local mild and then classical solution of a class of nonlinear integrodifferential equations in Banach ...
Kumar, Rakesh, Kumar, Kamalendra
core  

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