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Applicable Analysis
An International Journal
Volume 5, 1975 - Issue 1
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Original Articles

Some stability theorems for systems of volterra integral equations

J. M. Bownds Department of Mathematics, University of Arizona, Tucson, Arizona, 85721, U.S.A
&
J. M. Cushing Department of Mathematics, University of Arizona, Tucson, Arizona, 85721, U.S.A
Pages 65-77 | Received 14 Jan 1972, Published online: 26 Oct 2010

Citations (14)

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Read on this site (2)

B. G. Pachpatte. (2008) On a Perturbed System of Volterra Integral Equations. Numerical Functional Analysis and Optimization 29:1-2, pages 197-212.
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Siamak Amini. (1987) On the stability of volterra integral equations with seperable kernels. Applicable Analysis 24:4, pages 241-251.
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Articles from other publishers (12)

Samsul Ariffin Abdul Karim, Faheem Khan & Muhammad Basit. (2022) Symmetric Bernstein Polynomial Approach for the System of Volterra Integral Equations on Arbitrary Interval and Its Convergence Analysis. Symmetry 14:7, pages 1343.
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Natali Hritonenko. (2009) Stability analysis of Volterra integral equations with applications to age-structured population models. Nonlinear Analysis: Theory, Methods & Applications 71:12, pages e2298-e2304.
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C.T.H. Baker, E.O. Agyingi, E.I. Parmuzin, F.A. Rihan & Yihong Song. (2006) Sense from sensitivity and variation of parameters. Applied Numerical Mathematics 56:3-4, pages 397-412.
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. 1998. Inequalities for Differential and Integral Equations. Inequalities for Differential and Integral Equations 591 607 .
M.R Crisci, Z Jackiewicz, E Russo & A Vecchio. (1991) Stability analysis of discrete recurrence equations of Volterra type with degenerate kernels. Journal of Mathematical Analysis and Applications 162:1, pages 49-62.
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M. R. Crisci, Z. Jackiewicz, E. Russo & A. Vecchio. (1990) Global stability analysis of the Runge-Kutta methods for volterra integral and integro-differential equations with degenerate kernelsAnalyse der globalen Stabilität von Runge-Kutta Methoden für Volterrasche Integral und Integral-Differentialgleichungen mit degeneriertem Kern. Computing 45:4, pages 291-300.
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A. A. Martynyuk. (1980) Method of integral inequalities in the theory of stability of motion. Soviet Applied Mechanics 16:4, pages 267-281.
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Z. B. Tsalyuk. (1979) Volterra integral equations. Journal of Soviet Mathematics 12:6, pages 715-758.
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R.J DeFranco. (1978) Some stability criteria for multiple Volterra integral equations with an application to gas chromatography. Journal of Mathematical Analysis and Applications 62:2, pages 417-431.
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S.R. Bernfeld & M.E. Lord. (1978) A nonlinear variation of constants method for integro differential and integral equations. Applied Mathematics and Computation 4:1, pages 1-14.
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J.M Cushing. (1975) Stability of perturbed Volterra integral equations. Journal of Mathematical Analysis and Applications 50:2, pages 325-340.
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J. M. Bownds & J. M. Cushing. (1973) A representation formula for linear Volterra integral equations. Bulletin of the American Mathematical Society 79:3, pages 532-536.
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