The functional differential equation (x\u27(t) + L(x\u27)(t))\u27 = F(x)(t) together with functional boundary conditions is considered. Existence results are proved by the Leray-Schauder degree and the Borsuk theorem for α-condensing operators. We demonstrate on examples that our existence assumptions are optimal
AbstractThe upper and lower solutions method and a new maximum principle are employed to establish s...
AbstractUnder suitable conditions on f(t,y(t+θ)), the boundary value problem of higher-order functio...
In this paper, we consider boundary value problems for nonlinear differential equations in the Hilbe...
The functional differential equation (x\u27(t) + L(x\u27)(t))\u27 = F(x)(t) together with functi...
summary:We consider boundary value problems for second order differential equations of the form $(x^...
summary:The a priori boundedness principle is proved for the Dirichlet boundary value problems for s...
summary:New sufficient conditions of the existence and uniqueness of the solution of a boundary prob...
AbstractThis paper discusses the existence of positive solutions for three-point boundary value prob...
AbstractOf concern is the functional evolution equation dudt∈Bu+F(t,ut),t>0,u0=φ(s)∈C1[−r,0];X, wher...
AbstractIn this paper we study the existence of positive solutions of the equation (φ(x′))′+a(t)f(x(...
summary:The higher order neutral functional differential equation \[ \frac{\mathrm{d}^n}{\mathrm{d}t...
AbstractPositive solutions to the boundary value problem,y″=−f(x,y(w(x))),0<x<1,αy(x)−βy′(x)=ξ(x),a⩽...
AbstractIn this paper, the existence and multiplicity results of solutions are obtained for the seco...
summary:We study the existence of positive solutions of the integral equation \[ x(t) = \mu \int _0^...
AbstractBy means of the abstract continuation theory for k-contractions, some criteria are establish...
AbstractThe upper and lower solutions method and a new maximum principle are employed to establish s...
AbstractUnder suitable conditions on f(t,y(t+θ)), the boundary value problem of higher-order functio...
In this paper, we consider boundary value problems for nonlinear differential equations in the Hilbe...
The functional differential equation (x\u27(t) + L(x\u27)(t))\u27 = F(x)(t) together with functi...
summary:We consider boundary value problems for second order differential equations of the form $(x^...
summary:The a priori boundedness principle is proved for the Dirichlet boundary value problems for s...
summary:New sufficient conditions of the existence and uniqueness of the solution of a boundary prob...
AbstractThis paper discusses the existence of positive solutions for three-point boundary value prob...
AbstractOf concern is the functional evolution equation dudt∈Bu+F(t,ut),t>0,u0=φ(s)∈C1[−r,0];X, wher...
AbstractIn this paper we study the existence of positive solutions of the equation (φ(x′))′+a(t)f(x(...
summary:The higher order neutral functional differential equation \[ \frac{\mathrm{d}^n}{\mathrm{d}t...
AbstractPositive solutions to the boundary value problem,y″=−f(x,y(w(x))),0<x<1,αy(x)−βy′(x)=ξ(x),a⩽...
AbstractIn this paper, the existence and multiplicity results of solutions are obtained for the seco...
summary:We study the existence of positive solutions of the integral equation \[ x(t) = \mu \int _0^...
AbstractBy means of the abstract continuation theory for k-contractions, some criteria are establish...
AbstractThe upper and lower solutions method and a new maximum principle are employed to establish s...
AbstractUnder suitable conditions on f(t,y(t+θ)), the boundary value problem of higher-order functio...
In this paper, we consider boundary value problems for nonlinear differential equations in the Hilbe...