On the construction of the trajectory of a dynamical system with initial data on the hyperplanes

zbMath1351.34074MaRDI QIDQ307884

Nikolay Aleksandrovich Sidorov, Olga Aleksandrovna Romanova

Publication date: 5 September 2016

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://isu.ru/journal/downloadArticle?article=_0a9b154b557245c18788d6f772e08c42&lang=rus

zbMATH Keywords

Banach spacesinitial value problemfunctionalsShowalter-Sidorov initial conditionsingular equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10)

Related Items (2)

On the solution of Hammerstein integral equations with loads and bifurcation parameters ⋮ Classic solutions of boundary value problems for partial differential equations with operator of finite index in the main part of equation

Cites Work

• The Leontiev type systems: classes of problems with the Showalter-Sidorov initial condition and numerical solving
• Solvability of systems of Volterra integral equations of the first kind with piecewise continuous kernels
• On small solutions of nonlinear equations with vector parameter in sectorial neighborhoods
• On the Showalter-Sidorov problem
• GROUP SYMMETRY OF THE LYAPUNOV-SCHMIDT BRANCHING EQUATION AND ITERATIVE METHODS IN THE PROBLEM OF A BIFURCATION POINT
• Successive approximations to the solutions to nonlinear equations with a vector parameter in a nonregular case
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