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σ -increasing positive solutions for systems of linear functional differential inequalities of non-Metzler type
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SYSNO ASEP 0534004 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title σ -increasing positive solutions for systems of linear functional differential inequalities of non-Metzler type Author(s) Aguerrea, M. (CL)
Hakl, Robert (MU-W) RID, SAI, ORCIDArticle number 181 Source Title Mediterranean Journal of Mathematics. - : Springer - ISSN 1660-5446
Roč. 17, č. 6 (2020)Number of pages 20 s. Language eng - English Country CH - Switzerland Keywords boundary value problem ; functional differential inequality Subject RIV BA - General Mathematics OECD category Applied mathematics Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000585863300001 EID SCOPUS 85093068623 DOI 10.1007/s00009-020-01639-8 Annotation Consider the system of functional differential inequalities: D(σ)[u'(t)-ℓ(u)(t)]≥0fora.e.t∈[a,b],φ(u)≥0,where ℓ: C([a, b] : Rn) → L([a, b] : Rn) is a linear bounded operator, φ: C([a, b] : Rn) → Rn is a linear bounded functional, σ=(σi)i=1n, where σi∈ { - 1 , 1 } , and D(σ) = diag (σ1, ⋯ , σn). In the present paper, we establish conditions guaranteeing that every absolutely continuous vector-valued function u satisfying the above-mentioned inequalities admits also the inequalities u(t) ≥ 0 for t∈ [a, b] and D(σ) u'(t) ≥ 0 for a. e. t∈ [a, b]. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2021 Electronic address https://doi.org/10.1007/s00009-020-01639-8
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