Analytic solutions of a first order functional differential equation with a state derivative dependent delay.
Analytic solutions of a second-order functional differential equation with a state derivative dependent delay
This paper is concerned with a second-order functional differential equation of the form with the distinctive feature that the argument of the unknown function depends on the state derivative. An existence theorem is established for analytic solutions and systematic methods for deriving explicit solutions are also given.
Analytic solutions of a second-order iterative functional differential equation near resonance
We study existence of analytic solutions of a second-order iterative functional differential equation in the complex field ℂ. By constructing an invertible analytic solution y(z) of an auxiliary equation of the form invertible analytic solutions of the form for the original equation are obtained. Besides the hyperbolic case 0 < |α| < 1, we focus on α on the unit circle S¹, i.e., |α|=1. We discuss not only those α at resonance, i.e. at a root of unity, but also near resonance under the...
Analytic solutions of an iterative functional differential equation near resonance.
Analytic solutions of linear neutral functional differential-difference equations.
Analytic solutions of -th order differential equations at a singular point.
Analytic solutions of nonlinear neutral and advanced differential equations.
Analytical approximation to solutions of singularly perturbed boundary value problems.
Analytical solution of a class of coupled second order differential- difference equations.
Analytical solution of linear ordinary differential equations by differential transfer matrix method.
Analytical stability analysis of periodic systems by Poincaré mappings with application to rotorcraft dynamics.
Analyticity of the maximal solution of an abstract parabolic equation
Studia l’analiticità della soluzione massimale di una equazione parabolica astratta in spazi di Banach.
Ancora sulle diseguaglianze di Wirtinger concernenti la derivata seconda
Angenäherte Schwingungsfrequenzformeln für konservative Systeme (4)
Angiogenesis process with vessel impairment for Gompertzian and logistic type of tumour growth
We propose two models of vessel impairment in the process of tumour angiogenesis and we consider three types of treatment: standard chemotherapy, antiangiogenic treatment and a combined treatment. The models are based on the idea of Hahnfeldt et al. that the carrying capacity for any solid tumour depends on its vessel density. In the models proposed the carrying capacity also depends on the process of vessel impairment. In the first model a logistic type equation is used to describe the neoplastic...
Anharmonic oscillators with infinitely many real eigenvalues and -symmetry.
Anosov endomorphisms
Another approach to the theory of differential inequalities realtive to changes in the initial times.
Another proof of Borůvka's criterion on global equivalence of the second order ordinary linear differential equations
Another representation for the maximal Lie algebra of in terms of operators.