Non-linear, singular oscillator systems arise in various areas of the engineering and physical sciences. In particular, they occur in the areas of mechanical oscillations [8], electronic circuits [4, 7] and plasma physics [2]. The corresponding model ordinary differential equations (ODE) have been e
On Systems of Ordinary Differential Equations with Transcendental Parameters
β Scribed by B. Dwork
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 109 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0022-0396
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We establish existence results for solutions to boundary value problems for systems of second order difference equations associated with systems of second order ordinary differential equations subject to nonlinear boundary conditions.
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The paper studies differential equations of the form u (x) = f (x, u(x), Ξ»(x)), u(x0 ) = u0 , where the righthand side is merely measurable in x. In particular sufficient conditions for the continuous and the differentiable dependence of solution u on the data and on the parameter Ξ» are stated.