Abstract
The functional differential equations proposed for solution here are mainly ordinary differential equations with fairly general argument deviations. Included among them are equations with involutions and some with reflections of the argument. Solutions will be obtained by quadratures in terms of implicitly defined functions. They have a wide range of applicability from the stability theory of differential‐difference equations to electrodynamics and biological models.
Highlights
The functional differential equations proposed for solution here are mainly ordinary differential equations with fairly general argument deviations
The solutions are given in abstract terms or are made to depend on the solutions of equations of high-order
The central theme of this paper and its major motivation was provided by the equation y’ y(g(x)), for given g(x)
Summary
The functional differential equations proposed for solution here are mainly ordinary differential equations with fairly general argument deviations. In [6], Wiener and Aftabizadeh gave existence and uniqueness theorems for boundary-value problems problems for reflection of the argument in some cases of linear and nonlinear equations. The solutions are given in abstract terms or are made to depend on the solutions of equations of high-order. The central theme of this paper and its major motivation was provided by the equation y’ y(g(x)), for given g(x) This equation was suggested for solution by W.
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