In the present paper, a nonlinear countable-dimensional system of integrodifferential
equations is investigated, whose vector of unknowns is a countable set of functions of two�…

Partition Δₙ of the interval [0, T] into N parts and introduction of additional parameters and
new unknown functions on subintervals reduce a nonlinear Fredholm integro-differential�…

In this article the problems of the unique classical solvability and the construction of the
solution of a nonlinear boundary value problem for a fifth order partial integro-differential�…

In this paper nonlinear integro-differential equations of the type are considered, where is a
nonlinear integral operator. The concepts of upper and lower solutions of problems for�…

This study is concerned with a system of two nonlinear first order partial differential
equations. The right-hand sides of the system contain the squares of the gradients of the�…

1. TK Yuldashev,“Obratnaya zadacha dlya obyknovennogo integro-differentsialnogo
uravneniya s vyrozhdennym yadrom i nelokalnymi integralnymi usloviyami”, Vestnik TvGU�…

Let A be a constant real (m• m)-matrix such that all its characteristic roots have simple
elementary divisors, are purely imaginary, and are integral multiples of a certain positive�…

The system of partial integro-differential equations with an operator of differentiation with
respect to directions of vector field is considered. The considering integro-differential�…

The problem of existence and determination of periodic solutions of systems of
integrodifferential equations has been discussed by a number of authors [1-6]. The majority�…

An initial-value problem for an integro-di erential equation of convolution type with a nite
index operator for the higher order derivative in Banach spaces is considered. The�…