ISSN:
1573-2754
Keywords:
Singular perturbations
;
nonlinear
;
boundary value problems on infinite interval
;
existence of solutions
;
asymptotic estimates
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
Abstract In this paper the existence of solutions of the singularly perturbed boundary value problems on infinite interval for the second order nonlinear equation containing a small parameter ɛ〉0 $$\begin{gathered} \varepsilon y = f(x,y,y\prime ), \hfill \\ y^{(1)} (0) = a_1 , y(\infty ) = \beta \hfill \\ \end{gathered} $$ is examined, where $$\alpha _i $$ , β are constants, and i=0,1. Moreover, asymptotic estimates of the solutions for the above problems are given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02457494
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