Now showing items 1-10 of 11
New retarded integral inequalities with applications
Some new nonlinear integral inequalities of Gronwall type for retarded functions are established, which extend the results Lipovan (2003) and Pachpatte (2004). These inequalities can be used as basic tools in the study of ...
New integral inequalities for iterated integrals with applications
Some new nonlinear retarded integral inequalities of Gronwall type are established. These inequalities can be used as basic tools in the study of certain classes of integrodifferential equations.
Set-Theoretic Inequalities in Stochastic Noncooperative Games with Coalition
We model and analyze antagonistic stochastic games of three players, two of whom form a coalition against the third one. The actions of the players are modeled by random walk processes recording the cumulative damages to ...
Best proximity pairs theorems for continuous set-valued maps
A best proximity pair for a set-valued map F : A -○ B with respect to a set-valued map G : A -○ A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive ...
Coincidence point, best approximation, and best proximity theorems for condensing set-valued maps in hyperconvex metric spaces
In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set-valued self-maps. Then we consider the best approximation problem and the best proximity problem for set-valued mappings that ...
Multiple positive solutions in the sense of distributions of singular BVPs on time scales and an application to Emden-Fowler equations
This paper is devoted to using perturbation and variational techniques to derive some sufficient conditions for the existence of multiple positive solutions in the sense of distributions to a singular second-order dynamic ...
Constant-sign solutions of a system of Volterra integral equations in Orlicz spaces
We consider the following system of Volterra intergral equations uu1(t) = gi(t, s)fi(s, u1(s), u2(s), · · ·, un(s))ds, a.e. t ∈ [0,T], 1 ≤ i ≤ n. Criteria are offered for the existence of one and more constantsign solutions ...
Positive solutions for singular three-point boundary-value problems
Using the theory of fixed point index, this paper discusses the existence of at least one positive solution and the existence of multiple positive solutions for the singular three-point boundary value problem: y″(t) + ...
An existence principle for nonlocal difference boundary value problems with φ-laplacian and its application to singular problems
The paper presents an existence principle for solving a large class of nonlocal regular discrete boundary value problems with the ψ-Laplacian. Applications of the existence principle to singular discrete problems are given.
Best proximity pairs for upper semicontinuous set-valued maps in hyperconvex metric spaces
A best proximity pair for a set-valued map F : A → B with respect to a map g : A → A is defined, and new existence theorems of best proximity pairs for upper semicontinuous set-valued maps with respect to a homeomorphism ...