Blow-up of solutions of a semilinear heat equation with a memory term.

Messaoudi, Salim A.

Displaying similar documents to “Blow-up of solutions of a semilinear heat equation with a memory term.”

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.

On a variational inequality for the nonhomogeneous degenerated Kirchhoff equation with a frictional damping.

Frota, C.L., Lar'kin, N.A. (1998)

Portugaliae Mathematica

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Global existence and stability of some semilinear problems

Mokhtar Kirane, Nasser-eddine Tatar (2000)

Archivum Mathematicum

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We prove global existence and stability results for a semilinear parabolic equation, a semilinear functional equation and a semilinear integral equation using an inequality which may be viewed as a nonlinear singular version of the well known Gronwall and Bihari inequalities.

On a parabolic integrodifferential equation of Barbashin type

B. G. Pachpatte (2011)

Commentationes Mathematicae Universitatis Carolinae

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In the present paper we study some basic qualitative properties of solutions of a nonlinear parabolic integrodifferential equation of Barbashin type which occurs frequently in applications. The fundamental integral inequality with explicit estimate is used to establish the results.

On the blow-up set for non-Newtonian equation with a nonlinear boundary condition.

Liang, Zhilei (2010)

Abstract and Applied Analysis

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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.

On a class of second order ODE with a typical degenerate nonlinearity.

Haraux, A., Yan, Q. (2001)

Portugaliae Mathematica. Nova Série

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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.