Integral inequalities and global solutions of semilinear evolution equations

DOI10.1006/JMAA.2001.7798zbMath1028.34055OpenAlexW2110513115MaRDI QIDQ1599118

Milan Medved'

Publication date: 4 June 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7798

zbMATH Keywords

solutionssemilinear evolution equationsBihari-type inequalityweakly nonlinear integral inequality

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (26)

New Explicit Bounds on Gronwall-Bellman-Bihari-Gamidov Integral Inequalities and Their Weakly Singular Analogues with Applications ⋮ Some new Gronwall-Bihari type inequalities associated with generalized fractional operators and applications ⋮ Weakly singular Gronwall inequalities and applications to fractional differential equations ⋮ Nonoscillatory solutions of higher-order fractional differential equations ⋮ The effect of water level in a prey-predator interactions: A nonlinear analysis study ⋮ On exponential stability of nonlinear fractional multidelay integro-differential equations defined by pairwise permutable matrices ⋮ Explicit bounds of unknown function of some new weakly singular retarded integral inequalities with applications ⋮ Weakly singular Henry-Gronwall-Bihari type inequalities and their applications ⋮ A new class of nonlinear Gronwall-Bellman delay integral inequalities with power and its applications ⋮ Singular integral inequalities with several nonlinearities and integral equations with singular kernels ⋮ Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications ⋮ On nonlinear discrete weakly singular inequalities and applications to Volterra-type difference equations ⋮ On the asymptotic behavior of nonoscillatory solutions of certain fractional differential equations with positive and negative terms ⋮ Some nonlinear weakly singular integral inequalities with two variables and applications ⋮ Henry-Gronwall type retarded integral inequalities and their applications to fractional differential equations with delay ⋮ Some new weakly singular integral inequalities with discontinuous functions for two variables and their applications ⋮ Generalized weakly singular integral inequalities with applications to fractional differential equations with respect to another function ⋮ Henry-Gronwall integral inequalities with ``maxima and their applications to fractional differential equations ⋮ Some nonlinear Gronwall-Bellman-Gamidov integral inequalities and their weakly singular analogues with applications ⋮ Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces ⋮ New Henry-Gronwall integral inequalities and their applications to fractional differential equations ⋮ Integral inequalities and mild solutions of semilinear neutral evolution equations ⋮ Existence of mild solutions for fractional delay evolution systems ⋮ Some new weakly singular integral inequalities and their applications to fractional differential equations ⋮ Weakly singular integral inequalities and global solutions for fractional differential equations of Riemann-Liouville type ⋮ DIFFERENTIAL EQUATIONS WITH TEMPERED Ψ-CAPUTO FRACTIONAL DERIVATIVE

Cites Work

• Dynamic theory of quasilinear parabolic systems. III: Global existence
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Global existence for a class of highly degenerate parabolic systems
• Boundedness of global solutions of nonlinear diffusion equations
• Blow-up of solutions with sign changes for a semilinear diffusion equation
• On the boundedness of global solutions of abstract semilinear parabolic equations
• A new approach to an analysis of Henry type integral inequalities and their Bihari type versions
• Nonlinear singular integral inequalities for functions in two and \(n\) independent variables
• On some new inequalities related to certain inequalities in the theory of differential equations
• Stability for semilinear parabolic equations with noninvertible linear operator
• Global existence for semilinear parabolic systems.
• On the Maximal Interval of Existence for Solutions to Some Non-Linear Volterra Integral Equations with Convolution Kernel
• Global existence of solutions of semilinear parabolic evolution equations.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Integral inequalities and global solutions of semilinear evolution equations