A method of holomorphic generalization of singularly perturbed problems (Q682312)
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scientific article; zbMATH DE number 6838155
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A method of holomorphic generalization of singularly perturbed problems |
scientific article; zbMATH DE number 6838155 |
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A method of holomorphic generalization of singularly perturbed problems (English)
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14 February 2018
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The author applies the method of holomorphic regularization for the following initial value problem for the second-order nonlinear ordinary differential equation: \[ \begin{cases}\varepsilon\,w''(z) = f(z,w,w'), \\ w(z_0,\varepsilon) = w_0, \quad w'(z_0,\varepsilon) = v_0. \end{cases} \] It enables to build pseudo-holomorphic solutions to singularly perturbed problems without using functional spaces of complete topological structure.
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singularly perturbed nonlinear second-order ODEs
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homomorphism, pseudo-holomorphic solution, holomorphic regularization
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initial value problem
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