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Reduction from a SemiInfinite Interval to a Finite Interval of a Nonlinear Boundary Value Problem for a System of SecondOrder Equations with a Small Parameter
 A. I. Zadorin
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We consider a boundary value problem over a semiinfinite interval for a nonlinear autonomous system of secondorder ordinary differential equations with a small parameter at the leading derivatives. We impose certain constraints on the Jacobian under which a solution to the problem exists and is unique. To transfer the boundary condition from infinity, we use the wellknown approach that rests on distinguishing the variety of solutions satisfying the limit condition at infinity. To solve an auxiliary Cauchy problem, we apply expansions of a solution in the parameter.
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 Title
 Reduction from a SemiInfinite Interval to a Finite Interval of a Nonlinear Boundary Value Problem for a System of SecondOrder Equations with a Small Parameter
 Journal

Siberian Mathematical Journal
Volume 42, Issue 5 , pp 884892
 Cover Date
 20010901
 DOI
 10.1023/A:1011959409568
 Print ISSN
 00374466
 Online ISSN
 15739260
 Publisher
 Kluwer Academic PublishersPlenum Publishers
 Additional Links
 Topics
 Authors

 A. I. Zadorin ^{(1)}
 Author Affiliations

 1. The Institute of Applied Mathematics of the Far East Division of the, Russian Academy of Sciences, Khabarovsk