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

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

3 ציטוטים ‏(Scopus)

תקציר

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.

שפה מקורית	אנגלית
עמודים (מ-עד)	1395-1404
מספר עמודים	10
כתב עת	Mathematical and Computer Modelling
כרך	45
מספר גיליון	11-12
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1016/j.mcm.2006.09.024
סטטוס פרסום	פורסם - יוני 2007

גישה למסמך

10.1016/j.mcm.2006.09.024

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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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",

month = jun,

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

language = "אנגלית",

volume = "45",

pages = "1395--1404",

journal = "Mathematical and Computer Modelling",

issn = "0895-7177",

publisher = "Elsevier Ltd.",

number = "11-12",

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T1 - Positivity of solutions to boundary value problems for infinite functional differential systems

AU - Domoshnitsky, Alexander

AU - Goltser, Yakov

PY - 2007/6

Y1 - 2007/6

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

U2 - 10.1016/j.mcm.2006.09.024

DO - 10.1016/j.mcm.2006.09.024

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AN - SCOPUS:33847766145

SN - 0895-7177

VL - 45

SP - 1395

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

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