Successive-Approximations Method for Solutions of Nonlinear Differential Equations at an Irregular-Type Singular Point.
NAVAL RESEARCH LAB WASHINGTON D C MATHEMATICS RESEARCH CENTER
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Two fundamental existence theorems for the study of analytic solutions of nonlinear ordinary differential equations with an irregular-type are proved. A method of successive approximations involving improper contour integrals and analyticity with respect to several complex variables is employed. Author
- Theoretical Mathematics