Extensions of Gronwall-Bellman type integral inequalities with two independent variables
From MaRDI portal
Publication:2084163
DOI10.1515/math-2022-0029zbMath1496.34031OpenAlexW4285285035MaRDI QIDQ2084163
Yihuai Xie, Yueyang Li, Zhen-Hai Liu
Publication date: 18 October 2022
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2022-0029
partial differential equationsfractional integral inequalitiesdifferential and integral equationstwo independent variables
Differential inequalities involving functions of a single real variable (34A40) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Cites Work
- A generalized Gronwall inequality and its application to a fractional differential equation
- Gronwall-Bellman-type integral inequalities and applications to BVPs
- On some fundamental partial integral inequalities
- On some fundamental integral inequalities in two independent variables
- Geometric theory of semilinear parabolic equations
- Partial differential hemivariational inequalities
- Weakly singular Gronwall inequalities and applications to fractional differential equations
- New criteria for finite-time stability of nonlinear fractional-order delay systems: A Gronwall inequality approach
- Existence of solutions for space-fractional parabolic hemivariational inequalities
- Positive solutions for nonlinear singular elliptic equations of \(p\)-Laplacian type with dependence on the gradient
- Generalization of a retarded Gronwall-like inequality and its applications
- New Henry-Gronwall integral inequalities and their applications to fractional differential equations
- A Gronwall inequality via the generalized proportional fractional derivative with applications
- Certain new dynamic nonlinear inequalities in two independent variables and applications
- Some generalized Volterra-Fredholm type dynamical integral inequalities in two independent variables on time scale pairs
- Positive solutions for resonant (p,q)-equations with convection
- Some new weakly singular integral inequalities with discontinuous functions for two variables and their applications
- Existence of solutions for a class of noncoercive variational-hemivariational inequalities arising in contact problems
- Optimal control of an evolution hemivariational inequality involving history-dependent operators
- A note on Gronwall-Bellman inequality
- On certain new nonlinear retarded integral inequalities in two independent variables and applications
- The stability of solutions of linear differential equations
- Double phase Dirichlet problems with unilateral constraints
- Positive solutions for second order boundary value problems with derivative terms
- Extensions of Gronwall's inequality with quadratic growth terms and applications
- Improved mathematical results and simplified pedagogical approaches for Gronwall's inequality for fractional calculus
- Sensitivity Analysis of Optimal Control Problems Described by Differential Hemivariational Inequalities
- Generalized Penalty and Regularization Method for Differential Variational-Hemivariational Inequalities
- A generalized discrete fractional Gronwall inequality and its application on the uniqueness of solutions for nonlinear delay fractional difference system
- A new type of the Gronwall-Bellman inequality and its application to fractional stochastic differential equations
- A generalized h-fractional Gronwall's inequality and its applications for nonlinear h-fractional difference systems with ‘maxima’
- Gronwall's Inequality for Systems of Partial Differential Equations in Two Independent Variables
- Gronwall's Inequality in n Independent Variables
- Integral and Discrete Inequalities and Their Applications
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
