Monotone iterative technique for first-order nonlinear periodic boundary value problems on time scales.
Monotone iterative techniques and a periodic boundary value problem for first-order differential equations with a functional argument.
Monotone Methods for Periodic solutions of Second Order Scalar Functional Differential Equations.
Multiple positive solutions for a second order delay boundary value problem on the half-line
Second order nonlinear delay differential equations are considered, and Krasnosel'skiĭ's fixed point theorem is used to establish a result on the existence of positive solutions of a boundary value problem on the half-line. This result can be used to guarantee the existence of multiple positive solutions. A specification of the result obtained to the case of second order nonlinear ordinary differential equations as well as to a particular case of second order nonlinear delay differential equations...
Multiple positive solutions for second order impulsive boundary value problems in Banach spaces.
Multiple positive solutions for singular semi-positone delay differential equation.
Multiple positive solutions to singular boundary value problems for superlinear second order FDEs
We study the existence of positive solutions to the singular boundary value problem for a second-order FDE ⎧ u'' + q(t) f(t,u(w(t))) = 0, for almost all 0 < t < 1, ⎨ u(t) = ξ(t), a ≤ t ≤ 0, ⎩ u(t) = η(t), 1 ≤ t ≤ b, where q(t) may be singular at t = 0 and t = 1, f(t,u) may be superlinear at u = ∞ and singular at u = 0.
Multi-point boundary value problem for a class of functional-differential equations with parameter
Multipoint BVPs for second-order functional differential equations with impulses.
Natural boundary value problems for weighted form laplacians
The four natural boundary problems for the weighted form Laplacians acting on polynomial differential forms in the -dimensional Euclidean ball are solved explicitly. Moreover, an algebraic algorithm for generating a solution from the boundary data is given in each case.
New existence results of anti-periodic solutions of nonlinear impulsive functional differential equations
This paper is a continuation of Y. Liu, Anti-periodic solutions of nonlinear first order impulsive functional differential equations, Math. Slovaca 62 (2012), 695–720. By using Schaefer's fixed point theorem, new existence results on anti-periodic solutions of a class of nonlinear impulsive functional differential equations are established. The techniques to get the priori estimates of the possible solutions of the mentioned equations are different from those used in known papers. An example is...
Nonconvex differential inclusions with nonlinear monotone boundary conditions.
Nonlinear boundary value problem of first-order impulsive functional differential equations.
Nonlinear boundary value problems for differential inclusions y'' ∈ F(t,y,y')
Applying the topological transversality method of Granas and the a priori bounds technique we prove some existence results for systems of differential inclusions of the form y'' ∈ F(t,y,y'), where F is a Carathéodory multifunction and y satisfies some nonlinear boundary conditions.
Nonlinear delay-differential equations with small lag.
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