Displaying similar documents to “On a nonlinear degenerate evolution equation with strong damping.”

A note on weakly ( μ , λ ) -closed functions

Bishwambhar Roy (2013)

Mathematica Bohemica

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In this paper we introduce a new class of functions called weakly ( μ , λ ) -closed functions with the help of generalized topology which was introduced by Á. Császár. Several characterizations and some basic properties of such functions are obtained. The connections between these functions and some other similar types of functions are given. Finally some comparisons between different weakly closed functions are discussed. This weakly ( μ , λ ) -closed functions enable us to facilitate the formulation...

Weakly continuous operators. Applications to differential equations

Jan Franců (1994)

Applications of Mathematics

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The paper is a supplement to a survey by J. Franců: Monotone operators, A survey directed to differential equations, Aplikace Matematiky, 35(1990), 257–301. An abstract existence theorem for the equation A u = b with a coercive weakly continuous operator is proved. The application to boundary value problems for differential equations is illustrated on two examples. Although this generalization of monotone operator theory is not as general as the M-condition, it is sufficient for many technical...