2011•Differential EquationsRequires access

Cauchy problem for a second-order ordinary differential equation with a continual derivative

Beslan Igorevich Efendiev

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Abstract

For a second order linear ordinary differential equation with a continual derivative, we construct a fundamental solution. By using the fundamental solution, we find the solution of the Cauchy problem for the considered equation.

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What this paper is about

For a second order linear ordinary differential equation with a continual derivative, we construct a fundamental solution. By using the fundamental solution, we find the solution of the Cauchy problem for the considered equation.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

For a second order linear ordinary differential equation with a continual derivative, we construct a fundamental solution. By using the fundamental solution, we find the solution of the Cauchy problem for the considered equation.

Key concepts: Mathematics, Ordinary differential equation, Cauchy boundary condition, Cauchy problem, Exact differential equation, Initial value problem, Bernoulli differential equation, Mathematical analysis

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