On the Construction of the Trajectory of a Dynamical System with Initial Data on the Hyperplanes
In this paper we consider the problems of correct solvability of the initial value problem for a class of differential equations in Banach spaces. We apply the method of reduction of degenerate differential equation to the regular problems using the properties of the Jordan structure of the equation...
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Irkutsk State University
2015-06-01
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| Series: | Известия Иркутского государственного университета: Серия "Математика" |
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| Online Access: | http://isu.ru/journal/downloadArticle?article=_0a9b154b557245c18788d6f772e08c42&lang=rus |
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doaj-ae0a3d220dde4fc68606d403a905c8592020-11-24T23:16:16ZengIrkutsk State UniversityИзвестия Иркутского государственного университета: Серия "Математика" 1997-76702541-87852015-06-0112193105On the Construction of the Trajectory of a Dynamical System with Initial Data on the HyperplanesO.A. RomanovaN.A. SidorovIn this paper we consider the problems of correct solvability of the initial value problem for a class of differential equations in Banach spaces. We apply the method of reduction of degenerate differential equation to the regular problems using the properties of the Jordan structure of the equation operator coefficients. The sufficient conditions for the correct solvability and stability of the initial value problem for the equations unsolved according to derivatives depending on the equation operator coefficients are obtained. The abstract theorems are used for statement and investigation of initial value problems for partial differential equation and integral equationhttp://isu.ru/journal/downloadArticle?article=_0a9b154b557245c18788d6f772e08c42&lang=rusinitial value problemBanach spacessingular equationsShowalter – Sidorov initial conditionfunctionals |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
O.A. Romanova N.A. Sidorov |
| spellingShingle |
O.A. Romanova N.A. Sidorov On the Construction of the Trajectory of a Dynamical System with Initial Data on the Hyperplanes Известия Иркутского государственного университета: Серия "Математика" initial value problem Banach spaces singular equations Showalter – Sidorov initial condition functionals |
| author_facet |
O.A. Romanova N.A. Sidorov |
| author_sort |
O.A. Romanova |
| title |
On the Construction of the Trajectory of a Dynamical System with Initial Data on the Hyperplanes |
| title_short |
On the Construction of the Trajectory of a Dynamical System with Initial Data on the Hyperplanes |
| title_full |
On the Construction of the Trajectory of a Dynamical System with Initial Data on the Hyperplanes |
| title_fullStr |
On the Construction of the Trajectory of a Dynamical System with Initial Data on the Hyperplanes |
| title_full_unstemmed |
On the Construction of the Trajectory of a Dynamical System with Initial Data on the Hyperplanes |
| title_sort |
on the construction of the trajectory of a dynamical system with initial data on the hyperplanes |
| publisher |
Irkutsk State University |
| series |
Известия Иркутского государственного университета: Серия "Математика" |
| issn |
1997-7670 2541-8785 |
| publishDate |
2015-06-01 |
| description |
In this paper we consider the problems of correct solvability of the initial value problem for a class of differential equations in Banach spaces. We apply the method of reduction of degenerate differential equation to the regular problems using the properties of the Jordan structure of the equation operator coefficients. The sufficient conditions for the correct solvability and stability of the initial value problem for the equations unsolved according to derivatives depending on the equation operator coefficients are obtained. The abstract theorems are used for statement and investigation of initial value problems for partial differential equation and integral equation |
| topic |
initial value problem Banach spaces singular equations Showalter – Sidorov initial condition functionals |
| url |
http://isu.ru/journal/downloadArticle?article=_0a9b154b557245c18788d6f772e08c42&lang=rus |
| work_keys_str_mv |
AT oaromanova ontheconstructionofthetrajectoryofadynamicalsystemwithinitialdataonthehyperplanes AT nasidorov ontheconstructionofthetrajectoryofadynamicalsystemwithinitialdataonthehyperplanes |
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1725587912741879808 |