SOLUTION ESTIMATES OF NONLINEAR VECTOR VOLTERRA–STIELTJES EQUATIONS

DOI10.1142/S0219530503000144zbMath1048.45003OpenAlexW1983811931MaRDI QIDQ4474586

Peter E. Kloeden, Michael I. Gil'

Publication date: 12 July 2004

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

Full work available at URL: https://doi.org/10.1142/s0219530503000144

zbMATH Keywords

stabilitytime scalesbounded solutionssolution estimateintegrable solutionsnonlinear vector Volterra-Stieltjes equations

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Time-scale analysis and singular perturbations in control/observation systems (93C70) Stability theory for integral equations (45M10)

Related Items (2)

Stability and boundedness of solutions of Stieltjes differential equations ⋮ POSITIVITY OF GREEN'S FUNCTIONS TO VOLTERRA INTEGRAL AND HIGHER ORDER INTEGRO-DIFFERENTIAL EQUATIONS

Cites Work

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• Interpolation of operators of weak type
• On \(l^ p\) solutions of discrete Volterra equations
• Estimate of solutions for some Volterra difference equations
• Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach
• Asymptotic stability versus exponential stability in linear volterra difference equations of convolution type
• Volterra integral and differential equations

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