Results 31 to 40 of about 145 (57)

Some new Opial dynamic inequalities with weighted functions on time scales

, 2015
In this paper we prove some new dynamic inequalities with two weight functions and some new dynamic inequalities with two unknown functions of Opial type on time scales. The main results will be proved by employing Hölder’s inequality, the chain rule and
S. Saker, M. M. Osman, D. Regan, R. Agarwal   +3 more
semanticscholar   +1 more source

Lyapunov-type inequalities for two classes of Dirichlet quasilinear systems

, 2014
In this paper, we establish several new Lyapunov-type inequalities for two classes of Dirichlet quasilinear systems, which almost generalize and extend all related existing results in the literature.
A. Tiryaki, D. Çakmak, M. Aktas
semanticscholar   +1 more source

A nonlocal three-point inclusion problem of Langevin equation with two different fractional orders

, 2012
This article studies the existence of solutions for a three-point inclusion problem of Langevin equation with two fractional orders. Our main tools of study include a nonlinear alternative of Leray-Schauder type, selection theorem due to Bressan and ...
B. Ahmad, J. Nieto, A. Alsaedi
semanticscholar   +1 more source

An existence result for fractional differential inclusions with nonlinear integral boundary conditions

Journal of Inequalities and Applications, 2013
This paper studies the existence of solutions for a fractional differential inclusion of order q∈(2,3] with nonlinear integral boundary conditions by applying Bohnenblust-Karlin’s fixed point theorem.
B. Ahmad, S. Ntouyas, A. Alsaedi
semanticscholar   +1 more source

New multiplicative higher order dynamic inequalities of Opial type

, 2016
In this paper, we prove some new multiplicative dynamic inequalities of Opial type on a time scale T . The main results will be proved by using Hölder’s inequality, the chain rule and some basic dynamic inequalities designed and proved for this purpose ...
S. S. Rabie, S. Saker, D. Regan, R. Agarwal   +3 more
semanticscholar   +1 more source

Some retarded nonlinear integral inequalities and their applications in retarded differential equations

, 2012
In this article, we discuss some generalized retarded nonlinear integral inequalities, which not only include nonlinear compound function of unknown function but also include retard items, and give upper bound estimation of the unknown function by ...
Wu-Sheng Wang
semanticscholar   +1 more source

A class of retarded nonlinear integral inequalities and its application in nonlinear differential-integral equation

, 2012
In this paper, we discuss a class of retarded nonlinear integral inequalities and give an upper bound estimation of an unknown function by the integral inequality technique.
Wu-Sheng Wang
semanticscholar   +1 more source

Some generalized nonlinear retarded integral inequalities with applications

, 2012
In this article we discuss some new generalized nonlinear Gronwall-Bellman-Type integral inequalities with two variables, which include a non-constant term outside the integrals.
Wu-Sheng Wang
semanticscholar   +1 more source

Impulsive differential and impulsive integral inequalities with integral jump conditions

, 2012
In this article, we establish some impulsive differential and impulsive integral inequalities for integral jump conditions. The new jump conditions for impulse effects are related to the integral conditions of the past state.
P. Thiramanus, J. Tariboon
semanticscholar   +1 more source

Differential subordinations using the Ruscheweyh derivative and the generalized Sălăgean operator

, 2013
In the present paper, we study the operator, using the Ruscheweyh derivative Rmf(z) and the generalized Sălăgean operator Dλmf(z), denote by RDλ,αm:An→An, RDλ,αmf(z)=(1−α)Rmf(z)+αDλmf(z), z∈U, where An={f∈H(U):f(z)=z+an+1zn+1+⋯,z∈U} is the class of ...
L. Andrei
semanticscholar   +1 more source