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 singular boundary value problem for linear differential equations with deviating arguments
On a certain type of functional 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 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 non-local boundary value problem for linear functional differential equations.
On a parabolic integrodifferential equation of Barbashin type
In the present paper we study some basic qualitative properties of solutions of a nonlinear parabolic integrodifferential equation of Barbashin type which occurs frequently in applications. The fundamental integral inequality with explicit estimate is used to establish the results.
On a periodic boundary value problem for second-order linear functional differential equations.
On a singular two-point boundary value problem for a nonlinear th-order differential equation with deviating arguments.
On a two point linear boundary value problem for system of ODEs with deviating arguments
Two point boundary value problem for the linear system of ordinary differential equations with deviating arguments is considered. For this problem the sufficient condition for existence and uniqueness of solution is obtained. The same approach as in [2], [3] is applied.
On a two-point boundary value problem for second order functional differential equations. II.
On a two-point boundary value problem for second order functional differential equations.
On a two-point boundary value problem for second-order functional-differential equations. I.
On a weighted boundary value problem for a system of singular functional-differential equations.