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Information × Registration Number 0308U003016, 0106U008298 , R & D reports Title Analysis of Classes of Implicit and Degenerate Evolution Equations and its Application popup.stage_title Дослідження вироджених півлінійних функціонально-диференціальних рівнянь Head Rutkas A., Registration Date 20-02-2008 Organization Kharkov National University named after V.N.Karazin popup.description2 Investigation object - implicit and degenerate functional differential equations in Banach spaces. Work purpose - the qualtitative analysis of implicit and degenerate functional differential equations in Banach spaces,in particular: - investigation of solvability of equations and stability on initial data; - application to delay equations and to partial differential equations; - development of numerical methods to finding of solutions. Investigation methods - nonlinear analysis in Banach spaces, method of Rietz type spectral projectors, theory of operator subgroups, theory of partial differential equations. Main results: - new theorems for existence and uniqueness are proved: - the theoreme for continuous dependence of solutions on initial data are proved; - abstract results have been applied to partial functional differential equations and to delay differential algebraic equations; - numerical methods to finding of solutions of vector equstions with degenerate matrix by derivatives and with finite number of delays is developed. Field of application - evolution electrodynamics, microwave circuise, antenna techniques and radio-locations, liquid filtration and heat conduction in non-homogeneous mediums. IMPLICIT AND DEGENERATE FUNCTIONAL DIFFERENTIAL EQUATIONS, NEUTRAL EQUATION, RIETZ TYPE SPECTRAL PROJECTORS, EVOLUTIONARY OPERATOR, PARTIAL DIFFERENTIAL EQUATION, DELAY DIFFERENTIAL ALGEBRAIC EQUATION, NUMERICAL METHOD, Svobody square, 4, Kharkiv, 61077, Ukraine, tel. (057) 705 12 47, 705 12 54, fax (057) 705 12 61 Product Description popup.authors popup.nrat_date 2020-04-02 Close