A Liapunov functional for a linear integral equation.

Burton, T.A.

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Displaying similar documents to “A Liapunov functional for a linear integral equation.”

Integral equations with contrasting kernels.

Burton, T.A. (2008)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Qualitative properties of nonlinear Volterra integral equations.

Islam, M., Neugebauer, J.T. (2008)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Integral equations, Volterra equations, and the remarkable resolvent: contractions.

Burton, T.A. (2006)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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On the non-exponential decay to equilibrium of solutions of nonlinear scalar Volterra integro-differential equations.

Appleby, John A.D., Reynolds, David W. (2003)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Some stability and boundedness criteria for a class of Volterra integro-differential systems.

Vanualailai, Jito (2002)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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A note on the existence of solutions to some nonlinear functional integral equations.

Purnaras, I.K. (2006)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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On the existence of solutions to some nonlinear integrodifferential equations with delays.

Purnaras, I.K. (2007)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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On positive solutions of a class of second order nonlinear differential equations on the halfline

Svatoslav Staněk (1995)

Annales Polonici Mathematici

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The differential equation of the form ${(q (t) k (u) {(u^{'})}^{a})}^{'} = f (t) h (u) u^{'}$ , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.

Functional differential equations

Tadeusz Jankowski (2002)

Czechoslovak Mathematical Journal

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The method of quasilinearization is a well-known technique for obtaining approximate solutions of nonlinear differential equations. In this paper we apply this technique to functional differential problems. It is shown that linear iterations converge to the unique solution and this convergence is superlinear.

Nonnegative solutions of a class of second order nonlinear differential equations

S. Staněk (1992)

Annales Polonici Mathematici

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A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.

On global attractivity of solutions of a functional-integral equation.

Darwish, M.A. (2007)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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