Romanenko V. Approximation of bounded solutions of difference and differential equations in abstract spaces by solutions of corresponding Cauchy problems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U002928

Thesis Registration Form

0411U002928.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

21-06-2011

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

In the thesis conditions for approximation of bounded solutions of linear difference and differential equations by solutions of the corresponding Cauchy problems and boundary problems are investigated. Conditions for solvability of boundary problem for linear difference equation of arbitrary order with unbounded operator coefficient are obtained. It is proved in the case of equation, in which terms are symmetric difference analogues of derivatives of various orders, that solutions of boundary problem approximate bounded on Z solutions of the corresponding equation.

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Files

Diser.doc

aref.doc.doc

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