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Existence and properties of semi-bounded global solutions to the functional differential equation with Volterra-type operators on the real line
Aguerrea-Planas, Maitere; Hakl, Robert (2017)Consider the equation u'(t) = l0(u)(t) - l1(u)(t) + f(u)(t) for almost every t ϵ R, where li : Cloc(R;R) → Lloc(R;R) (i = 0, 1) are linear positive continuous operators and f : Cloc(R;R) → Lloc(R;R) is a continuous operator ...
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Existence of fast positive semi-wavefront solutions to monostable integro-differential equations with delay
Aguerrea-Planas, Maitere; Hakl, Robert (2019)We establish the existence of fast positive semi-wavefront solutions to a delay integro-differential problem.
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Increasing Positive Solutions for Systems of Linear Functional Differential Inequalities of Non-Metzler Type
Aguerrea-Planas, Maitere; Hakl, Robert (2020)Consider the system of functional differential inequalities: D(σ)[u′(t)−ℓ(u)(t)]≥0 for a. 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 ...