Results 81 to 90 of about 606,903 (214)

Some Nonlinear Integral Inequalities Connected with Retarded Terms on Time Scales

open access: yesJournal of Function Spaces, 2020
The objective of this research is to formulate a specific class of integral inequalities of Gronwall kind concerning retarded term and nonlinear integrals with time scales theory.
Zareen A. Khan   +4 more
doaj   +1 more source

Sliding mode control for a phase field system related to tumor growth

open access: yes, 2017
In the present contribution we study the sliding mode control (SMC) problem for a diffuse interface tumor growth model coupling a viscous Cahn-Hilliard type equation for the phase variable with a reaction-diffusion equation for the nutrient.
Colli, Pierluigi   +3 more
core   +1 more source

Some generalized Gronwall-Bellman-Bihari type integral inequalities with application to fractional stochastic differential equation

open access: yesFilomat, 2019
In this paper some new Gronwall-Bellman-Bihari type integral inequalities with singular as well as non-singular kernels have been discussed, generalizing some already existing results.
S. Hussain, Halima Sadia, Sidra Aslam
semanticscholar   +1 more source

Boundary spike‐layer solutions of the multi‐dimensional singular Keller–Segel system: Existence, profiles and stability

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.
Abstract This paper investigates boundary‐layer solutions of the singular Keller–Segel system (proposed in Keller and Segel [J. Theor. Biol. 30 (1971), 377–380]) in multi‐dimensional domains, which describes cells' chemotactic movement toward the concentration gradient of the nutrient they consume, subject to a zero‐flux boundary condition for the cell
Jose A. Carrillo   +3 more
wiley   +1 more source

On the generalized coupled Hadamard-Gronwall-Bellman-type inequalities with applications to fractional delay systems

open access: yesAIMS Mathematics
The Gronwall-Bellman inequality is a primary tool for proving various types of stability. For this importance, the present paper focuses on the generalized forms of the well-known Gronwall-Bellman inequality in the context of the Hadamard fractional ...
Sina Etemad   +2 more
doaj   +1 more source

A new approach to interval-valued inequalities

open access: yesAdvances in Difference Equations, 2020
The objective of this work is to advance and simplify the notion of Gronwall’s inequality. By using an efficient partial order and concept of gH-differentiability on interval-valued functions, we investigate some new variants of Gronwall type ...
Awais Younus   +4 more
doaj   +1 more source

Nonlinear discrete fractional sum inequalities related to the theory of discrete fractional calculus with applications

open access: yesAdvances in Difference Equations, 2021
By means of ς fractional sum operator, certain discrete fractional nonlinear inequalities are replicated in this text. Considering the methodology of discrete fractional calculus, we establish estimations of Gronwall type inequalities for unknown ...
Zareen A. Khan   +3 more
doaj   +1 more source

Some new nonlinear powered Gronwall-Bellman type retarded integral inequalities and their applications

open access: yesJournal of Mathematical Inequalities, 2019
. The purpose of the this paper is to establish some new retarded integral inequalities of Gronwall-Bellman type, which generalizes some known integral inequalities. The inequalities given here can be used in the analysis of the qualitative properties of
Zizun Li, Wu-Sheng Wang
semanticscholar   +1 more source

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane   +3 more
wiley   +1 more source

On integral inequalities for functions of several independent variables

open access: yesElectronic Journal of Differential Equations, 2003
This paper presents some non-linear integral inequalities for functions of $n$ independent variables. These results extend the Gronwall type inequalities obtained for two variables by Dragomir and Kim [2].
Hassane Khellaf
doaj  

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