Mostrando 9 resultados de: 9
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Journal of Mathematical Analysis and Applications(2)
Mathematical Methods in the Applied Sciences(2)
Advances in Applied Clifford Algebras(1)
Complex Analysis and Operator Theory(1)
Complex Variables and Elliptic Equations(1)
Complete Families of Solutions for the Dirac Equation Using Bicomplex Function Theory and Transmutations
ArticleAbstract: The Dirac equation with a scalar and an electromagnetic potential is considered. In the time-harmoniPalabras claves:Bicomplex number, Dirac equation, pseudoanalytic functions, Runge theorem, Transformation operator, Transmutation, Vekua equationAutores:Hugo M. Campos, Kravchenko V.V., Méndez L.Fuentes:googlescopusA finite-sum representation for solutions for the Jacobi operator
ArticleAbstract: We obtain a finite-sum representation for the general solution of the equation, in terms of a non-vaPalabras claves:Difference equation, Jacobi operator, spectral parameter power seriesAutores:Hugo M. Campos, Kravchenko V.V.Fuentes:googlescopusConstruction and application of Bergman-type reproducing kernels for boundary and eigenvalue problems in the plane
ArticleAbstract: We show how the Bergman-type reproducing kernels for the elliptic operator D = div p grad + q with vPalabras claves:Bergman kernel, generalized analytic function, pseudoanalytic function, reproducing kernel, Schrödinger equationAutores:Hugo M. Campos, Kravchenko V.V., Perez R.Fuentes:googlescopusConstruction and use of reproducing kernels for boundary and eigenvalue problems in the plane using pseudoanalytic function theory
Conference ObjectAbstract: We show how the Bergman-type reproducing kernels for the elliptic operator D= div p grad + q with vaPalabras claves:Autores:Hugo M. Campos, Kravchenko V.V., Perez R.Fuentes:googlescopusFundamentals of Bicomplex Pseudoanalytic Function Theory: Cauchy Integral Formulas, Negative Formal Powers and Schrödinger Equations with Complex Coefficients
ArticleAbstract: The study of the Dirac system and second-order elliptic equations with complex-valued coefficients oPalabras claves:Bicomplex number, Cauchy integral formula, Formal power, pseudoanalytic function, Schrödinger equation, Vekua equationAutores:Hugo M. Campos, Kravchenko V.V.Fuentes:googlescopusTransmutations, L-bases and complete families of solutions of the stationary Schrödinger equation in the plane
ArticleAbstract: An L-basis associated to a linear second-order ordinary differential operator L is an infinite sequePalabras claves:Bicomplex number, pseudoanalytic function, Runge approximation theorem, Runge property, Stationary Schrödinger equation, Sturm-Liouville operator, Transformation operator, Transmutation, Vekua equationAutores:Hugo M. Campos, Kravchenko V.V., Torba S.M.Fuentes:googlescopusSpectral parameter power series method for discontinuous coefficients
ArticleAbstract: Let (a,b) be a finite interval and 1/p, q, r?L1[a,b]. We show that a general solution (in the weak sPalabras claves:discontinuity conditions, spectral parameter power series, Sturm-Liouville problemsAutores:Blancarte H., Hugo M. Campos, Khmelnytskaya K.V.Fuentes:googlescopusStandard transmutation operators for the one dimensional Schrödinger operator with a locally integrable potential
ArticleAbstract: We study a special class of operators T satisfying the transmutation relation ([formula presented]−qPalabras claves:Goursat problem, Schrödinger operator, spectral parameter power series, Transformation operator, Transmutation, weak solutionAutores:Hugo M. CamposFuentes:googlescopusThe Bergman kernel for the Vekua equation
Conference ObjectAbstract: The paper extends some well-known results for analytic functions onto solutions of the Vekua equatioPalabras claves:Bergman kernel, generalizations of Bers or Vekua type, generalized analytic functions, pseudoanalytic functions, Vekua equationAutores:Hugo M. Campos, Kravchenko V.V.Fuentes:scopus