A method for solving linear differential-algebraic systems of equations supplemented with nonlocal conditions specified by the Stieltjes integral

DOI10.1134/S0965542513080113zbMath1299.34028OpenAlexW2061287427MaRDI QIDQ5413189

V. I. Ul'yanova

Publication date: 28 April 2014

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542513080113

zbMATH Keywords

Stieltjes integralnonlocal conditionslinear differential-algebraic systems of equationssuccessive transformations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear ordinary differential equations and systems (34A30)

Cites Work

• A nonlinear self-adjoint spectral problem for differential-algebraic equations
• A unified approach to linear differential algebraic equations and their adjoints
• Boundary conditions and their transfer for differential-algebraic equations of index 1
• A method for solving boundary value problems and spectral problems for linear differential-algebraic systems
• A nonlocal problem for singular linear systems of ordinary differential equations
• Multipoint problems for systems of ordinary differential equations
• Transfer of boundary conditions for DAE<scp>s</scp>of index 1
• On the application of the method of successive substitution to the determination of periodic solutions of differential and difference equations
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