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Abel‐Summability of Eigenfunction Expansions of Three—Point Boundary Value Problems
Author(s) -
Freiling Gerhard,
Trooshin Igor Yu.
Publication year - 1998
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19981900107
Subject(s) - mathematics , eigenfunction , counterexample , boundary value problem , mathematical analysis , operator (biology) , boundary (topology) , differential operator , differential equation , point (geometry) , pure mathematics , geometry , discrete mathematics , eigenvalues and eigenvectors , biochemistry , physics , chemistry , quantum mechanics , repressor , transcription factor , gene
We study the Abel‐summability of the eigenfunction expansions associated with the differential operator L generated byand splitting three‐point boundary conditions. It is shown that there is no straightforward analogy between multipoint and twopoint boundary value problems. Counterexamples show that our main results are best possible. Classification. 34L10, 34B10.