”Homogeneous” second order differential equation: zeros separation principles
DOI:
https://doi.org/10.24193/subbmath.2018.2.08Keywords:
Second order differential equation, first order system of differential equations, zero separation, Sturm theorem, Nicolescu theorem, Butlewski theorem, Markov theorem, zeros of special functions defined by differential equations, zero distance function, functions defined in terms of zeros of solutions, equation in the complex domain, computation of zeros by fixed point techniques, categories of linear differential equations.Abstract
In this paper we study the following problems: Problem 1. Let I ⊂ R be an open interval and F : R3 × I → R be a continuous function with, F (0, 0, 0, x) = 0, for all x ∈ I. We consider the following differential equations ...
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Mathematics Subject Classification (2010): 34C10, 12D10, 34B24, 33xx, 34M10.
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