Solution of the homogeneous Cauchy problem for an equation with a Fredholm operator multiplying the derivative

DOI10.1134/S1064562409050202zbMath1195.34085MaRDI QIDQ1048548

S. P. Zubova

Publication date: 12 January 2010

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

zbMATH Keywords

Cauchy problemFredholm operator

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10)

Related Items (7)

The role of perturbations in the Cauchy problem for equations with a Fredholm operator multiplying the derivative ⋮ Analytical solution for descriptor system in partial differential equations ⋮ Solution of the control problem for a linear descriptor system with rectangular coefficient matrix ⋮ Degeneracy property of a matrixdifferential operator and applications ⋮ A study of the rigidity of descriptor dynamical systems in a Banach space ⋮ Solution of a semi-boundary value problem for a degenerate partial differential equation ⋮ Solution of the Cauchy problem for two descriptive equations with Fredholm operator

Cites Work

• Unnamed Item
• Solution of the Cauchy problem for two differential-algebraic equations with a Fredholm operator
• Linear Sobolev type equations and degenerate semigroups of operators

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