Fundamental operator functions of singular differential operators under spectral boundedness conditions

DOI10.1134/S0012266106060061zbMath1135.34328MaRDI QIDQ2459693

Yanyan Li

Publication date: 8 November 2007

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

operator theoryimplicit equationsgeneral spectral theory

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) General spectral theory of ordinary differential operators (34L05) Linear differential equations in abstract spaces (34G10)

Related Items (4)

Generalized solutions of differential equations with the derivatives of functionals in Banach spaces ⋮ Degenerate integro-differential operators in Banach spaces and their applications ⋮ Fundamental operator functions of integro-differential operators under spectral or polynomial boundedness ⋮ The fundamental operator functions of degenerate heat equations in Banach spaces

Cites Work

• Linear Sobolev type equations and degenerate semigroups of operators
• Asymptotic expansions for a model with distinguished “fast” and “slow” variables, described by a system of singularly perturbed stochastic differential equations
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