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02910nam a2200481 4500 |
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121227s1997 gw | s |||| 0|eng d |
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|a 9783540691228
|9 978-3-540-69122-8
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|a 10.1007/BFb0094700
|2 doi
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|a QA370-380
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|a 515.353
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|a Kozlov, Vladimir.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Theory of a Higher-Order Sturm-Liouville Equation
|h [electronic resource] /
|c by Vladimir Kozlov, Vladimir Maz'ya.
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|a 1st ed. 1997.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 1997.
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|a XII, 144 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|a online resource
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|a text file
|b PDF
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1659
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|a Basic equation with constant coefficients -- The operator M(? t ) on a semiaxis and an interval -- The operator M(? t )??0 with constant ?0 -- Green's function for the operator M(? t )??(t) -- Uniqueness and solvability properties of the operator M(? t ??(t) -- Properties of M(? t ??(t) under various assumptions about ?(t) -- Asymptotics of solutions at infinity -- Application to ordinary differential equations with operator coefficients.
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|a 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.
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|a Partial differential equations.
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|a Partial Differential Equations.
|0 http://scigraph.springernature.com/things/product-market-codes/M12155
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|a Maz'ya, Vladimir.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783662191798
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|i Printed edition:
|z 9783540630654
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1659
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|u https://doi.org/10.1007/BFb0094700
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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|a ZDB-2-BAE
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|a Mathematics and Statistics (Springer-11649)
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