Solution of the Cauchy problem for two descriptive equations with Fredholm operator

DOI10.1134/S106456241407031XzbMath1329.34016MaRDI QIDQ2353031

S. P. Zubova, E. V. Raetskaya

Publication date: 7 July 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

differential-algebraic systemslinear equationscontrol problems

Mathematics Subject Classification ID

Controllability (93B05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Control problems involving ordinary differential equations (34H05) Linear differential equations in abstract spaces (34G10)

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Degeneracy property of a matrixdifferential operator and applications

Cites Work

• Solution of the homogeneous Cauchy problem for an equation with a Fredholm operator multiplying the derivative
• Solution of the Cauchy problem for two differential-algebraic equations with a Fredholm operator
• Linear Sobolev type equations and degenerate semigroups of operators
• Solvability, controllability, and observability of continuous descriptor systems
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