On one class of integro-differential equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 0970.45006
author: Franco Jorge
publication date: 2001-06-25T00:00:00Z
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 1609664
zbMATH Keywords: integro-differential equation
zbMATH Keywords: existence
zbMATH Keywords: nonlinear
zbMATH Keywords: continuously differentiable solution
MaRDI profile type: Publication
Recommended article: Q5845327
Recommended article: Q3803628
Recommended article: Q4298107
Recommended article: Q4464207
Recommended article: Q3469720
Recommended article: Q5422895
Recommended article: On a class of integro-differential problems
Recommended article: ON THE INTEGRABILITY OF A CLASS OF DIFFERENTIAL EQUATIONS
Recommended article: On certain class of generalized integro-differential equations
Recommended article: On a new class of integro-differential equations
title: On one class of integro-differential equations
published in: Vestnik Rossiĭskogo Universiteta Druzhby Narodov. Seriya Prikladnaya Matematika i Informatika
review text: For the solution of the integro-differential equation NEWLINE\[NEWLINE \dot x(t) = F\Biggl(t,x(t), \int_0^t K(t,s,x(s)) ds, \int_0^T H(t,s,x(s)) ds\Biggr)\tag{1} NEWLINE\]NEWLINE with initial condition NEWLINE\[NEWLINE x(0)=x_0\tag{2} NEWLINE\]NEWLINE existence and uniqueness conditions are established on the segment \(\Delta\) in the class of continuously differentiable functions.
reviewed by: A. A. Martynyuk
description: scientific article; zbMATH DE number 1609664