Generalized double integral inequalities and their applications in studying the stability of nonlinear integro-differential systems with time delay

DOI10.1007/S10883-013-9188-1zbMath1278.45007OpenAlexW1965224379MaRDI QIDQ372896

Lianzhong Li

Publication date: 21 October 2013

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-013-9188-1

zbMATH Keywords

stabilityintegral equationdelay equationa priori estimateGronwall inequalityintegro-differential equation with delay

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10) Systems of nonlinear integral equations (45G15) Volterra integral equations (45D05) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• The second law of thermodynamics and stability
• Inequalities for differential and integral equations
• A retarded integral inequality and its applications.
• A retarded Gronwall-like inequality and its applications
• On some new inequalities related to certain inequalities in the theory of differential equations
• Global existence of solutions for perturbed differential equations
• Integral inequalities for retarded Volterra equations
• Existence and continuous dependence of solutions of a neutral functional- differential equation
• The stability of solutions of linear differential equations
• О простых идеалах первой степени
• Explicit bounds on certain integral inequalities
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalized double integral inequalities and their applications in studying the stability of nonlinear integro-differential systems with time delay