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σ -increasing positive solutions for systems of linear functional differential inequalities of non-Metzler type

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    0534004 - MÚ 2021 RIV CH eng J - Článek v odborném periodiku
    Aguerrea, M. - Hakl, Robert
    σ -increasing positive solutions for systems of linear functional differential inequalities of non-Metzler type.
    Mediterranean Journal of Mathematics. Roč. 17, č. 6 (2020), č. článku 181. ISSN 1660-5446
    Institucionální podpora: RVO:67985840
    Klíčová slova: boundary value problem * functional differential inequality
    Kód oboru RIV: BA - Obecná matematika
    Obor OECD: Applied mathematics
    Impakt faktor: 1.216, rok: 2019
    https://doi.org/10.1007/s00009-020-01639-8

    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].
    Trvalý link: http://hdl.handle.net/11104/0312226
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