Results 111 to 120 of about 610,482 (163)

Boundedness of the Solutions to Certain Delay Dynamic Integrodifferential Systems on Time Scales

Discrete Dynamics in Nature and Society, 2018
In this paper, the bounds on the solutions of certain delay dynamic integrodifferential systems on time scales are considered. Based on a new Gronwall-Bellman type delay integral inequality, we can estimate the boundedness of solutions to ...
Min Fan, Yazhou Tian
doaj   +1 more source

Discrete Gronwall's inequality for Ulam stability of delay fractional difference equations

Mathematical Modelling and Analysis
This paper investigates Ulam stability of delay fractional difference equations. First, a useful equality of double fractional sums is employed and discrete Gronwall’s inequality of delay type is provided. A delay discrete-time Mittag-Leffler function is
Shu-Yu Yang, Guo-Cheng Wu
semanticscholar   +1 more source

An impulsive nonlinear singular version of the Gronwall-Bihari inequality

Journal of Inequalities and Applications, 2006
We find bounds for a Gronwall-Bihari type inequality for piecewise continuous functions. Unlike works in the prior literature, here we consider inequalities involving singular kernels in addition to functions with delays.
Tatar Nasser-Eddine
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The 𝑒-positive mild solutions for fractional impulsive evolution equations with 1 < 𝛼 < 2

CQD Revista Eletrônica Paulista de Matemática, 2022
In this paper, we investigate the existence of global 𝑒-positive mild solutions for impulsive evolution fractional differential equation in the Caputo sense of order 1 < 𝛼 < 2.
Jorge Féres Junior, José Vanterler da Costa Sousa, Edmundo Capelas de Oliveira   +2 more
doaj  

Existence and Exponential Stability of Positive Almost Periodic Solutions for a Model of Hematopoiesis

Boundary Value Problems, 2009
By employing the contraction mapping principle and applying Gronwall-Bellman's inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic solution for nonlinear impulsive delay model of ...
Nieto JJ, Stamov GTr, Alzabut JO
doaj  

A Nonlinear Generalizations of Dynamic Inequalities on Time Scales

Ratio Mathematica
Considering the distinctive generalization of the Gronwall-Bellman inequality, in this paper we innovates new dynamical inequalities on time scale. These inequalities will be acted a profound tools for studying qualitative properties such as uniqueness ...
Vikas Sopan Jadhav, Asma Kazi, Sitaram G. Latpate, Vandana S. Ghodke   +3 more
doaj   +1 more source

Impulsive Problems for Fractional Differential Equations with Nonlocal Boundary Value Conditions

Abstract and Applied Analysis, 2014
We investigate the nonlocal boundary value problems of impulsive fractional differential equations. By Banach’s contraction mapping principle, Schaefer’s fixed point theorem, and the nonlinear alternative of Leray-Schauder type, some related new ...
Peiluan Li, Youlin Shang
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Some basic theorems on difference-differential equations

Electronic Journal of Differential Equations, 2008
In this paper some basic theorems on the existence, uniqueness and continuous dependence of solutions of a certain difference-differential equation are established.
Baburao G. Pachpatte
doaj  

Newton's method for stochastic functional differential equations

Electronic Journal of Differential Equations, 2012
In this article, we apply Newton's method to stochastic functional differential equations. The first part concerns a first-order convergence. We formulate a Gronwall-type inequality which plays an important role in the proof of the convergence theorem
Monika Wrzosek
doaj  

Nonlinear singular integral inequalities for functions in two and independent variables

Journal of Inequalities and Applications, 2000
In this paper nonlinear integral inequalities with weakly singular kernels for functions in two and independent variables are solved. The obtained results are related to the well known Gronwall–Bihari and Henry inequalities for functions in one ...
Medveď Milan
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