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In this article we consider nonlinear differential equations with ψ-exponential and ψ-ordinary dichotomous linear part in a Banach space. By the help of the fixed point principle of Banach sufficient conditions are found for the existence of ψ-bounded solutions of these equations on R and R + .
The present paper is the first part of investigations devoted to analysis of lossy transmission lines terminated by nonlinear parallel connected GC loads and in series connected L-load (cf. Fig. 1). First we formulate boundary conditions for lossy transmission line system on the base of Kirchhoff's law. Then we reduce the mixed problem for the hyperbolic… (More)
In the present work, a generalization of the classical model of Monod accounting the influence of both delayed and instant mortalities on the dynamics of the microorganism population is proposed. The model was analysed and compared with respect to its quality and applicability for simulation of the cultivation process of microorganisms. Existence of a… (More)