DIRICHLET PROBLEM FOR THE STURM-LIOUVILLE EQUATION AND THE METHOD OF MODEL EQUATIONS

N. Chernyavskaya; L. Shuster

doi:10.26351/FDE/31/3-4/3

DIRICHLET PROBLEM FOR THE STURM-LIOUVILLE EQUATION AND THE METHOD OF MODEL EQUATIONS

N. Chernyavskaya
, L. Shuster

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In the present paper, we give conditions for the existence and uniqueness of the solution of the boundary problem (Formula Presented) where f ∈ L_p(R), p ∈ (1, ∞) and (Formula Presented).

Original language	English
Pages (from-to)	159-170
Number of pages	12
Journal	Functional Differential Equations
Volume	31
Issue number	3-4
DOIs	https://doi.org/10.26351/FDE/31/3-4/3
State	Published - 1 Jan 2024

Keywords

General Sturm-Liouville equation
correct solvability

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Numerical Analysis
Mathematical Physics
Control and Optimization

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10.26351/FDE/31/3-4/3

Cite this

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title = "DIRICHLET PROBLEM FOR THE STURM-LIOUVILLE EQUATION AND THE METHOD OF MODEL EQUATIONS",

abstract = "In the present paper, we give conditions for the existence and uniqueness of the solution of the boundary problem (Formula Presented) where f ∈ Lp(R), p ∈ (1, ∞) and (Formula Presented).",

keywords = "General Sturm-Liouville equation, correct solvability",

author = "N. Chernyavskaya and L. Shuster",

year = "2024",

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journal = "Functional Differential Equations",

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N2 - In the present paper, we give conditions for the existence and uniqueness of the solution of the boundary problem (Formula Presented) where f ∈ Lp(R), p ∈ (1, ∞) and (Formula Presented).

AB - In the present paper, we give conditions for the existence and uniqueness of the solution of the boundary problem (Formula Presented) where f ∈ Lp(R), p ∈ (1, ∞) and (Formula Presented).

KW - General Sturm-Liouville equation

KW - correct solvability

UR - https://www.scopus.com/pages/publications/105001301296

U2 - 10.26351/FDE/31/3-4/3

DO - 10.26351/FDE/31/3-4/3

M3 - Article

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SN - 0793-1786

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ER -

DIRICHLET PROBLEM FOR THE STURM-LIOUVILLE EQUATION AND THE METHOD OF MODEL EQUATIONS

Abstract

Keywords

ASJC Scopus subject areas

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