Nonlinear evolution equations on Banach space.

Ahmed, N.U.

Displaying similar documents to “Nonlinear evolution equations on Banach space.”

A class of singularly perturbed evolution systems.

Ahmed, N.U. (1994)

Journal of Applied Mathematics and Stochastic Analysis

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Regularizing properties for transition semigroups and semilinear parabolic equations in Banach spaces.

Masiero, Federica (2007)

Electronic Journal of Probability [electronic only]

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Space-time continuous solutions to SPDE's driven by a homogeneous Wiener process

Zdzisław Brzeźniak, Szymon Peszat (1999)

Studia Mathematica

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Stochastic partial differential equations on $ℝ^{d}$ are considered. The noise is supposed to be a spatially homogeneous Wiener process. Using the theory of stochastic integration in Banach spaces we show the existence of a Markovian solution in a certain weighted $L^{q}$ -space. Then we obtain the existence of a space continuous solution by means of the Da Prato, Kwapień and Zabczyk factorization identity for stochastic convolutions.

Controllability of quasilinear stochastic evolution equations in Hilbert spaces.

Balasubramaniam, P. (2001)

Journal of Applied Mathematics and Stochastic Analysis

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Controllability of semilinear stochastic evolution equations in Hilbert space.

Balasubramaniam, P., Dauer, J.P. (2001)

Journal of Applied Mathematics and Stochastic Analysis

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Existence of solutions of nonlinear integrodifferential equation with nonlocal condition.

Balachandran, K., Chandrasekaran, M. (1997)

Journal of Applied Mathematics and Stochastic Analysis

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Approximations to mild solutions of stochastic semilinear equations with non-Lipschitz coefficients

Dorel Barbu, Gheorghe Bocşan (2002)

Czechoslovak Mathematical Journal

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In the present paper, using a Picard type method of approximation, we investigate the global existence of mild solutions for a class of Ito type stochastic differential equations whose coefficients satisfy conditions more general than the Lipschitz and linear growth ones.