The product of a function and a Boehmian

Dennis Nemzer

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$Σ$ -convergence.

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Banach Journal of Mathematical Analysis [electronic only]

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Positive solutions of a renewal equation

Janusz Traple (1992)

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An existence theorem is proved for the scalar convolution type integral equation $x (t) = \int_{- \infty}^{\infty} h (t - s) f (s, x (s)) d s$ .

Darcy's law in anisothermic porous medium.

Meirmanov, A.M. (2007)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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On convergence of greedy approximations for the trigonometric system.

Konyagin, Sergei V. (2007)

Banach Journal of Mathematical Analysis [electronic only]

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On convolution operators with small support which are far from being convolution by a bounded measure

Edmond Granirer (1994)

Colloquium Mathematicae

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Let $C V_{p} (F)$ be the left convolution operators on $L^{p} (G)$ with support included in F and $M_{p} (F)$ denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that $C V_{p} (F)$ , $C V_{p} (F) / M_{p} (F)$ and $C V_{p} (F) / W$ are as big as they can be, namely have $l^{\infty}$ as a quotient, where the ergodic space W contains, and at times is very big relative to $M_{p} (F)$ . Other subspaces of $C V_{p} (F)$ are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.

Convergence of solutions of certain non-homogeneous third order ordinary differential equations

A. U. Afuwape, M.O. Omeike (2008)

Kragujevac Journal of Mathematics

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Qualitative behavior of a class of second order nonlinear differential equations on the halfline

Svatoslav Staněk (1993)

Annales Polonici Mathematici

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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.

Qualitative investigation of nonlinear differential equations describing infiltration of water

Xingbao Wu (1995)

Annales Polonici Mathematici

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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.