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Information × Registration Number 0209U006044, 0106U008298 , R & D reports Title Analysis of Classes of Implicit and Degenerate Evolution Equations and its Application popup.stage_title Head Rutkas A., Registration Date 19-01-2009 Organization Kharkov National University named after V.N.Karazin popup.description2 Report: 42 p., 6 fig., 42 references. Investigation object - implicit and degenerate differential equations in Banach spaces, in particular, equations with singular linear part. Work purpose - the analysis of different classes of implicit and degenerate differential equations in Banach spaces, in particular: - studying different types of singularities of characteristic operator sheaves; - investigating the solvability of equations; - elucidating compatibility conditions on initial data; - applications to partial differential equations, to differential algebraic equations, to the theory radiotechnical networks; - the construction and of mathematical models of electromagnetic field in waveguide liquid filtration; - the development of numerical methods to finding solutions of degenerate initial value problems. Investigation methods - the nonlinear analysis in Banach spaces, the spectral analysis of nonself-adjoint operators and operator sheaves, the theory of partial differential equations, the theory ofdifference schemes. Main results: - new theorems of existence of solutions for different classes of initial value problems; - applications of abstract results to different classes of partial differential equations; - new mathematical models of electromagnetic field in waveguide and liquid filtration; - new numerical methods of finding solutions of degenerate initial value problems. Field of application - evolution electrodynamics, radio, radio-locations, liquid filtration, thermal physics. IMPLICIT AND DEGENERATE DIFFERENTIAL EQUATIONS IN BANACH SPACES, EQUATIONS WITH SINGULARITY, PARTIAL DIFFERENTIAL EQUATION, ELECTRICAL NETWORK, CYLINDRICAL WAVEGUIDE WITH SPACE DISPERSIVE MEDIUM, LIQUID FILTRATION, 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