Results 11 to 20 of about 145 (57)

Uniqueness criterion for solution of abstract nonlocal Cauchy problem

open access: yesInternational Journal of Stochastic Analysis, Volume 6, Issue 1, Page 49-54, 1993., 1992
The aim of the paper is to prove an uniqueness criterion for a solution of an abstract nonlocal Cauchy problem. A dissipative operator in the nonlocal problem and an arbitrary functional in the nonlocal condition are considered. The paper is a continuation of papers [1]‐[3] and generalizes some results from [4].
L. Byszewski
wiley   +1 more source

Some new generalized forms of Hardy's type inequality on time scales

open access: yes, 2017
In this paper, we prove some new dynamic inequalities from which some known dynamic inequalities on time scales, some integral and discrete inequalities due to Hardy, Copson, Chow, Levinson, Pachpatte Yang and Hwang will be deduced as special cases. Also,
S. Saker   +3 more
semanticscholar   +1 more source

Nonlinear integral inequality in two independent variables

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 1, Page 115-119, 1988., 1986
In this note, the authors obtain a generalization of the integral inequality of Bihari [1] to a nonlinear inequality in two independent variables. With the aid of this inequality a bound for the solution of a nonlinear partial differential equation is established.
P. T. Vaz, S. G. Deo
wiley   +1 more source

Some new versions of fractional boundary value problems with slit-strips conditions

open access: yes, 2014
We discuss the existence and uniqueness of solutions for a fractional differential equation of order q∈(n−1,n] with slit-strips type boundary conditions.
B. Ahmad, R. Agarwal
semanticscholar   +1 more source

On Bellman‐Bihari integral inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 1, Page 97-103, 1982., 1982
Integral inequalities of the Bellman‐Bihari type are established for integrals involving an arbitrary number of independent variables.
Eutiquio C. Young
wiley   +1 more source

Theory of fractional hybrid differential equations with linear perturbations of second type

open access: yes, 2013
In this paper, we develop the theory of fractional hybrid differential equations with linear perturbations of second type involving Riemann-Liouville differential operators of order ...
Hongling Lu   +3 more
semanticscholar   +1 more source

Properties on a subclass of univalent functions defined by using a multiplier transformation and Ruscheweyh derivative

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper we have introduced and studied the subclass ℛ𝒥 (d, α, β) of univalent functions defined by the linear operator RIn,λ,lγf(z)$RI_{n,\lambda ,l}^\gamma f(z)$ defined by using the Ruscheweyh derivative Rnf(z) and multiplier transformation I (n,
Alb Lupaş Alina
doaj   +1 more source

Bounded index, entire solutions of ordinary differential equations and summability methods

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 3, Page 417-434, 1981., 1981
A brief survey of recent results on functions of bounded index and bounded index summability methods is given. Theorems on entire solutions of ordinary differential equations with polynomial coefficients are included.
G. H. Fricke, Ranjan Roy, S. M. Shah
wiley   +1 more source

A Lyapunov-type inequality for a fractional differential equation under Sturm-Liouville boundary conditions

open access: yes, 2017
Lyapunov-type inequality is established for a fractional differential equation under Sturm-Liouville boundary conditions. Our results cover many results in the literature. Mathematics subject classification (2010): 34A08, 34A40, 26D10, 34C10, 33E12.
Yo yu Wang, S. Liang, C. Xia
semanticscholar   +1 more source

Lyapunov-type inequalities for third-order linear differential equations

open access: yes, 2016
In this paper, we obtain new Lyapunov-type inequalities for the third-order linear differential equation x′′′ + q(t)x = 0 . Our work provides the sharpest results in the literature and makes corrections to those in a recently published paper [1].
Sougata Dhar, Qingkai Kong
semanticscholar   +1 more source

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