Principal fundamental system of solutions, the Hartman-Wintner problem and correct solvability of the general Sturm-Liouville equation

N. Chernyavskaya, L. Shuster

Research output: Contribution to journalArticlepeer-review

Abstract

We study the problem of correct solvability in the space Lp(R) , p∈ [1 , ∞) of the equation -(r(x)y′(x))′+q(x)y(x)=f(x),x∈R under the conditions r>0,q≥0,1r∈L1(R),q∈L1(R).

Original languageEnglish
JournalBollettino dell'Unione Matematica Italiana
DOIs
StateAccepted/In press - 1 Jan 2023

Keywords

  • Correct solvability
  • General Sturm-Liouville equation

ASJC Scopus subject areas

  • General Mathematics

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