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- catalog abstract "This book develops a detailed theory of a generalized Sturm-Liouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity. Of independent interest, the higher-order Sturm-Liouville equation also proved to have important applications to differential equations with operator coefficients and elliptic boundary value problems for domains with non-smooth boundaries. The book addresses graduate students and researchers in ordinary and partial differential equations, and is accessible with a standard undergraduate course in real analysis.".
- catalog contributor b10450831.
- catalog contributor b10450832.
- catalog created "1997.".
- catalog date "1997".
- catalog date "1997.".
- catalog dateCopyrighted "1997.".
- catalog description "Includes bibliographical references (p.[137]-138) and index.".
- catalog description "Introduction -- Basic Equations with Constant Coefficients -- The operator M (dt) on a Semiaxis -- The operator M (dt) - w0 with Constant w0 -- Green's Function for the Operator M (dt) - w (t) -- Uniqueness and Solvability Properties of the Operator M (dt) - w (t) -- Properties of M (dt) - w (t) under Various Assumptions about w (t) -- Asymptotics of Solutions at Infinity -- Appendix: Application to Ordinary Differential Equation with Operator Coefficients.".
- catalog description "This book develops a detailed theory of a generalized Sturm-Liouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity. Of independent interest, the higher-order Sturm-Liouville equation also proved to have important applications to differential equations with operator coefficients and elliptic boundary value problems for domains with non-smooth boundaries. The book addresses graduate students and researchers in ordinary and partial differential equations, and is accessible with a standard undergraduate course in real analysis.".
- catalog extent "xi, 140 p. ;".
- catalog hasFormat "Theory of a higher-order Sturm-Liouville equation.".
- catalog identifier "3540630651 (soft : acid-free paper)".
- catalog isFormatOf "Theory of a higher-order Sturm-Liouville equation.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1659.".
- catalog isPartOf "Lecture notes in mathematics ; 1659".
- catalog issued "1997".
- catalog issued "1997.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Theory of a higher-order Sturm-Liouville equation.".
- catalog subject "510 s 515/.352 21".
- catalog subject "Differential equations, partial.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1659 QA379".
- catalog subject "Sturm-Liouville equation.".
- catalog tableOfContents "Introduction -- Basic Equations with Constant Coefficients -- The operator M (dt) on a Semiaxis -- The operator M (dt) - w0 with Constant w0 -- Green's Function for the Operator M (dt) - w (t) -- Uniqueness and Solvability Properties of the Operator M (dt) - w (t) -- Properties of M (dt) - w (t) under Various Assumptions about w (t) -- Asymptotics of Solutions at Infinity -- Appendix: Application to Ordinary Differential Equation with Operator Coefficients.".
- catalog title "Theory of a higher-order Sturm-Liouville equation / Vladimir Kozlov, Vladimir Mazʹya.".
- catalog type "text".