Uniquely solvable problems for abstract Legendre equation

DOI10.3103/S1066369X18070010zbMath1405.34052MaRDI QIDQ1794380

A. V. Glushak

Publication date: 15 October 2018

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

zbMATH Keywords

Cauchy problemboundary value problemnonlocal conditionabstract Legendre equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear differential equations in abstract spaces (34G10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (3)

The associated operator Legendre function and the incomplete Cauchy problem ⋮ A family of singular differential equations ⋮ Transmutation Operators as a Solvability Concept of Abstract Singular Equations

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• Uniqueness theorems for linear non-local problems for abstract differential equations
• The Legendre operator function

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