Time-domain descriptor models for circuits with multiconductor transmission lines and lumped elements
ABSTRACT We suggest a method to investigate impulse circuits with multiconductor transmission lines in time domain. The transmission lines are connected by a multi-port with linear and nonlinear lumped LCR-elements. In the general case, transient states in these circuits are described by degenerate or descriptor delay nonlinear integro-differential equations. We develop theory of such equations and numerical methods to find solutions.
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ABSTRACT: We establish conditions for the existence and uniqueness of the solutions of nonlinear functional-differential equations with impulsive action in a Banach space. The equation under consideration is not solved for the derivative. It is assumed that the characteristic operator pencil corresponding to the linear part of the equation satisfies a constraint of parabolic type in the right half-plane. Applications to partial functional-differential equations not of Kovalevskaya type are considered.Mathematical Notes 01/2014; 95(1-2). DOI:10.1134/S0001434614010040 · 0.33 Impact Factor