A generalization of the theorems of alternation and non-oscillation for differential-operator equations of arbitrary even order

DOI10.1007/s10958-014-1681-xzbMath1499.34232OpenAlexW2122774728MaRDI QIDQ460553

Aleksandr Mikhailovich Kholkin

Publication date: 13 October 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-1681-x

zbMATH Keywords

oscillation theorydifferential-operator equationtheorem of alternationtheorem of non-oscillation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Cites Work

• Sturm-Liouville boundary value problems with operator potentials and unitary equivalence
• Actions with a finite number of orbits
• Discrete and continuous boundary problems
• On positive differential operators (deficiency indices, factorization, perturbations)
• 1.—On Square-integrable Solutions of Symmetric Systems of Differential Equations of Arbitrary Order.
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