Displaying similar documents to “Coefficients of the singularities on domains with conical points”

On some elliptic transmission problems

Christodoulos Athanasiadis, Ioannis G. Stratis (1996)

Annales Polonici Mathematici

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Boundary value problems for second order linear elliptic equations with coefficients having discontinuities of the first kind on an infinite number of smooth surfaces are studied. Existence, uniqueness and regularity results are furnished for the diffraction problem in such a bounded domain, and for the corresponding transmission problem in all of N . The transmission problem corresponding to the scattering of acoustic plane waves by an infinitely stratified scatterer, consisting of layers...

Three methods for the study of semilinear equations at resonance

Bogdan Przeradzki (1993)

Colloquium Mathematicae

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Three methods for the study of the solvability of semilinear equations with noninvertible linear parts are compared: the alternative method, the continuation method of Mawhin and a new perturbation method [22]-[27]. Some extension of the last method and applications to differential equations in Banach spaces are presented.

An Abstract Second Kind Fredholm Integral Equation with Degenerated Kernel

Wysocki, Hubert, Zellma, Marek (2005)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 44A40, 45B05 The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.

Solutions to a class of polynomially generalized Bers–Vekua equations using Clifford analysis

Min Ku, Uwe Kähler, Paula Cerejeiras (2012)

Archivum Mathematicum

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In this paper a class of polynomially generalized Vekua–type equations and of polynomially generalized Bers–Vekua equations with variable coefficients defined in a domain of Euclidean space are discussed. Using the methods of Clifford analysis, first the Fischer–type decomposition theorems for null solutions to these equations are obtained. Then we give, under some conditions, the solutions to the polynomially generalized Bers–Vekua equation with variable coefficients. Finally, we present...