On Fredholm-Type Integral Equations in Topological Hölder Spaces
Sign Up to like & getrecommendations! Published in 2021 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2021.1952430
Abstract: Abstract Using the technique associated with the classical Schauder fixed point theorem we demonstrate the existence of solutions of a class of quadratic integral equation of Fredholm type in Hölder spaces. Moreover, one useful example… read more here.
Keywords: type integral; lder spaces; equations topological; fredholm type ... See more keywords
On the Cauchy problem for stochastic parabolic equations in Hölder spaces
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DOI: 10.1090/tran/7533
Abstract: In this paper, we establish a sharp $C^{2+\alpha}$-theory for stochastic partial differential equations of parabolic type in the whole space. read more here.
Keywords: stochastic parabolic; lder spaces; cauchy problem; problem stochastic ... See more keywords
Hölder Spaces on Closed Curves
Sign Up to like & getrecommendations! Published in 2018 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080218090391
Abstract: Let Γ be a closed Jordan curve on the complex plane dividing it onto domains D+ and D−, ∞ ∈ D−. The Hölder space Hv (Γ) is the space of functions satisfying the Hölder condition… read more here.
Keywords: lder spaces; spaces closed; closed curves;
On the Existence of the Solutions of a Fredholm Integral Equation with a Modified Argument in Hölder Spaces
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DOI: 10.3390/sym10100522
Abstract: This article concerns the entity of solutions of a quadratic integral equation of the Fredholm type with an altered argument, x ( t ) = p ( t ) + x ( t ) ∫… read more here.
Keywords: lder spaces; integral equation; existence solutions; solutions fredholm ... See more keywords