Positivity of solutions to boundary value problems for infinite functional differential systems

Alexander Domoshnitsky; Yakov Goltser

doi:10.1016/j.mcm.2006.09.024

Positivity of solutions to boundary value problems for infinite functional differential systems

Department of Mathematics

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

3 Scopus citations

Abstract

In this paper the problems of unique solvability of boundary value problems for infinite functional differential systems and positivity of their solutions are reduced to analysis of scalar functional equations in the space of measurable essentially bounded functions y : [0, + ∞) → (- ∞, + ∞). Efficient tests of the solvability and the positivity are obtained.

Original language	English
Pages (from-to)	1395-1404
Number of pages	10
Journal	Mathematical and Computer Modelling
Volume	45
Issue number	11-12
DOIs	https://doi.org/10.1016/j.mcm.2006.09.024
State	Published - Jun 2007

Keywords

Cauchy and periodic problems
Functional equations
Infinite systems
Positivity
Spectral radius

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10.1016/j.mcm.2006.09.024

Cite this

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title = "Positivity of solutions to boundary value problems for infinite functional differential systems",

abstract = "In this paper the problems of unique solvability of boundary value problems for infinite functional differential systems and positivity of their solutions are reduced to analysis of scalar functional equations in the space of measurable essentially bounded functions y : [0, + ∞) → (- ∞, + ∞). Efficient tests of the solvability and the positivity are obtained.",

keywords = "Cauchy and periodic problems, Functional equations, Infinite systems, Positivity, Spectral radius",

author = "Alexander Domoshnitsky and Yakov Goltser",

year = "2007",

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doi = "10.1016/j.mcm.2006.09.024",

language = "אנגלית",

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AU - Goltser, Yakov

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N2 - In this paper the problems of unique solvability of boundary value problems for infinite functional differential systems and positivity of their solutions are reduced to analysis of scalar functional equations in the space of measurable essentially bounded functions y : [0, + ∞) → (- ∞, + ∞). Efficient tests of the solvability and the positivity are obtained.

AB - In this paper the problems of unique solvability of boundary value problems for infinite functional differential systems and positivity of their solutions are reduced to analysis of scalar functional equations in the space of measurable essentially bounded functions y : [0, + ∞) → (- ∞, + ∞). Efficient tests of the solvability and the positivity are obtained.

KW - Cauchy and periodic problems

KW - Functional equations

KW - Infinite systems

KW - Positivity

KW - Spectral radius

UR - https://www.scopus.com/pages/publications/33847766145

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DO - 10.1016/j.mcm.2006.09.024

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AN - SCOPUS:33847766145

SN - 0895-7177

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EP - 1404

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 11-12

ER -

Positivity of solutions to boundary value problems for infinite functional differential systems

Abstract

Keywords

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