Existence and uniqueness of a solution to a partial integro-differential equation by the method of lines.

Bahuguna, D.; Dabas, J.

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Displaying similar documents to “Existence and uniqueness of a solution to a partial integro-differential equation by the method of lines.”

New results on the positive solutions of nonlinear second-order differential systems.

Guo, Yingxin (2009)

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

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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 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.

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Purnaras, I.K. (2007)

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

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Semilinear evolution equations of the parabolic type

Jan Bochenek (1999)

Annales Polonici Mathematici

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This paper is devoted to the investigation of the abstract semilinear initial value problem du/dt + A(t)u = f(t,u), u(0) = u₀, in the "parabolic" case.