Results 81 to 90 of about 588 (178)

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

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
doaj  

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
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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  

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
doaj   +1 more source

Existence Results for a Coupled System of Nonlinear Fractional Differential Equations in Banach Spaces

Journal of Applied Mathematics, 2014
We investigate boundary value problems for a coupled system of nonlinear fractional differential equations involving Caputo derivative in Banach spaces.
Yuping Cao, Chuanzhi Bai
doaj   +1 more source

Stability of Impulsive Cohen-Grossberg Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms

Abstract and Applied Analysis, 2013
This work concerns the stability of impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms as well as Dirichlet boundary condition.
Jinhua Huang, Jiqing Liu, Guopeng Zhou
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Generalization of an inequality of Gronwall-Reid

Journal of Approximation Theory, 1989
On donne une nouvelle demonstration de l'inegalite de Gronwall-Reid, qui se prete facilement a une generalisation au cas ou la differentielle de Riemann «dt» est remplacee par une mesure ...
openaire   +1 more source