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

نتاج البحث: نشر في مجلة › مقالة › مراجعة النظراء

3 اقتباسات (Scopus)

ملخص

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.

اللغة الأصلية	الإنجليزيّة
الصفحات (من إلى)	1395-1404
عدد الصفحات	10
دورية	Mathematical and Computer Modelling
مستوى الصوت	45
رقم الإصدار	11-12
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/j.mcm.2006.09.024
حالة النشر	نُشِر - يونيو 2007

الوصول إلى المستند

10.1016/j.mcm.2006.09.024

الملفات والروابط الأخرى

Link to publication in Scopus

قم بذكر هذا

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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

ملخص

الوصول إلى المستند

الملفات والروابط الأخرى

بصمة

قم بذكر هذا