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Information × Registration Number 0219U001925, 0118U001778 , R & D reports Title Operator-differential equations and their applications in problems of physics popup.stage_title Head Marchenko Vitalii Anatoliyovych, Registration Date 27-03-2019 Organization B.Verkin Institute for Low Temperature Physics and Engineering NAS of Ukraine popup.description2 The explicit form of the resolvent of the generator of strongly continuous group with non-basis family of eigenvectors was obtained and asymptotic properties of the resolvent on a complex plane were studied. Theorems on Lagrange stability and instability of semilinear differential-algebraic equations with singular pencils of operators were proved. Numerical methods for the solution of limit hypersingular integral equations, that appear in diffraction problems, were developed and justified. A non-canonica symplectic form for the Korteweg–de Vries equation was constructed. Product Description popup.authors Андреєв Кирило Миколайович Костенко Олексій Володимирович Марченко Віталій Анатолійович Філіпковська Марія Сергіївна popup.nrat_date 2020-04-02 Close