Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Anatoliy M Samoilenko"'
Autor:
Anatoliy M Samoilenko, Yuriy Teplinsky
Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility
Differential equations with random perturbations are the mathematical models of real-world processes that cannot be described via deterministic laws, and their evolution depends on random factors. The modern theory of differential equations with rand
Publikováno v:
Opuscula Mathematica, Vol 27, Iss 1, Pp 113-130 (2007)
The Gelfand-Levitan integral equations for Delsarte-Lions type transformations in multidimension are studied. The corresponding spectral and analytical properties of Delsarte-Lions transformed operators are analyzed by means of the differential-geome
Externí odkaz:
https://doaj.org/article/b9b6037444b14aeda796a7504da37003
Publikováno v:
Opuscula Mathematica, Vol 26, Iss 1, Pp 137-150 (2006)
The structure properties of multidimensional Delsarte-Darboux transmutation operators in parametric functional spaces are studied by means of differential-geometric and topological tools. It is shown that kernels of the corresponding integral operato
Externí odkaz:
https://doaj.org/article/bb8a5f67cb4d4ec8aeea11ec68c678d3
Publikováno v:
Opuscula Mathematica, Vol 25, Iss 2, Pp 287-298 (2005)
The canonical reduction method on canonically symplectic manifolds is analized in detail, the relationships with the geometric properties of associated principal fiber bundles endowed with connection structures are stated. Some results devoted to stu
Externí odkaz:
https://doaj.org/article/77642d6f474d4abebd491f226621b90f
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 65:395-432
A review on spectral and differential-geometric properties of Delsarte transmutation operators in multidimension is given. Their differential-geometric and topological structure of Delsarte transmutation operators and associated with them Gelfand–L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::237d7e6d3ed2bf12564bc67e3e8f9905
https://doi.org/10.1016/j.na.2005.07.039
https://doi.org/10.1016/j.na.2005.07.039
Publikováno v:
Open Mathematics. 3:529-557
The differential-geometric and topological structure of Delsarte transmutation operators and their associated Gelfand-Levitan-Marchenko type eqautions are studied along with classical Dirac type operator and its multidimensional affine extension, rel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2a22bc9075176ac0041981a6aca5117
https://doi.org/10.2478/bf02475922
https://doi.org/10.2478/bf02475922
Publikováno v:
Reports on Mathematical Physics. 55:351-370
Spectral properties od Delsarte transmutation operators are studied, their differential geometrical and topological structure in multidimension is analyzed, the relationships with De Rham-Hodge-Skrypnik theory of generalized differential complexes is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73cb2ad708b4c1c84de48310f43fc021
https://doi.org/10.1016/s0034-4877(05)80051-5
https://doi.org/10.1016/s0034-4877(05)80051-5
Publikováno v:
Journal of Mathematical Physics. 42:5358-5370
There are studied in detail the structure properties of integral submanifold imbedding mapping for a class of algebraically Liouville integrable Hamiltonian systems on cotangent phase spaces and related with it so called Picard–Fuchs type equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3105dab6c670257a56f9fc914b38ab6d
https://doi.org/10.1063/1.1409961
https://doi.org/10.1063/1.1409961
Publikováno v:
Qualitative and Asymptotic Analysis of Differential Equations with Random Perturbations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b81740f64bfc7a31e575e9759a29be2
https://doi.org/10.1142/9789814329071_0005
https://doi.org/10.1142/9789814329071_0005