On a boundary value problem for a two-dimensional system of evolution functional differential equations.
On a boundary value problem for nonlinear functional differential equations.
On a boundary value problem for scalar linear functional differential equations.
On a boundary value problem on the half-line for nonlinear two-dimensional delay differential systems
This article is concerned with a boundary value problem on the half-line for nonlinear two-dimensional delay differential systems. By the use of the Schauder-Tikhonov theorem, a result on the existence of solutions is obtained. Also, via the Banach contraction principle, another result concerning the existence and uniqueness of solutions is established. Moreover, these results are applied to the special case of ordinary differential systems and to a certain class of delay differential systems. Furthermore,...
On a certain differential equation with time lag
On a certain singular boundary value problem for linear differential equations with deviating arguments
On a certain type of functional differential equations
On a class of differential equations in Banach space
On a class of first order nonlinear functional differential equations of neutral type
On a class of fourth order half-linear differential equations
On a class of functional boundary value problems for second-order functional differential equations with parameter
On a class of functional boundary value problems for the equation x'' = f(t,x,x',x'',λ)
The Leray-Schauder degree theory is used to obtain sufficient conditions for the existence and uniqueness of solutions for the boundary value problem x'' = f(t,x,x',x'',λ), α(x) = 0, β(x̅) = 0, γ(x̿)=0, depending on the parameter λ. Here α, β, γ are linear bounded functionals defined on the Banach space of C⁰-functions on [0,1] and x̅(t) = x(0) - x(t), x̿(t)=x(1)-x(t).
On a class of functional boundary value problems for third-order functional differential equations with parameter
On a class of functional differential equations having slowly varying solutions.
On a class of functional differential equations in Banach spaces.
On a class of systems of differential equations and on retarded equations.
On a class of third order neutral delay differential equations with piecewise constant argument.
On a Classical Nicoletti Boundary Value Problem.
On a criterion for the existence of at least four solutions of functional boundary value problems
A class of functional boundary conditions for the second order functional differential equation is introduced. Here is a nonlinear continuous unbounded operator. Sufficient conditions for the existence of at least four solutions are given. The proofs are based on the Bihari lemma, the topological method of homotopy, the Leray-Schauder degree and the Borsuk theorem.
On a functional equation with derivative and symmetrization
We study existence, uniqueness and form of solutions to the equation where α, β, γ and f are given, and stands for the even part of a searched-for differentiable function g. This equation emerged naturally as a result of the analysis of the distribution of a certain random process modelling a population genetics phenomenon.