Singular Boundary Value Problems on a Half-Line

Chen, Shaozhu; Zhang, Yong

doi:10.1006/jmaa.1995.1367

Cited by 59 publications

(24 citation statements)

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“…More examples and a collection of works on the existence of solutions of boundary value problems on half-line for differential, difference and integral equations may be found in the monographs [1,2] For some works and various techniques dealing with such boundary value problems (we may refer to [3][4][5][6] and the references cited therein).…”

Section: Introductionmentioning

confidence: 99%

Existence of solutions for a class of nonlinear boundary value problems on half-line

Ertem

Zafer

2012

Bound Value Probl

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Consider the infinite interval nonlinear boundary value problemwhere u and v are principal and nonprincipal solutions of (p(t)x')' + q(t)x = 0, r 1 (t) = o (u(t)(v(t)) μ ) and r 2 (t) = o(v(t)(u(t)) μ ) for some μ (0, 1), and a and b are arbitrary but fixed real numbers. Sufficient conditions are given for the existence of a unique solution of the above problem for i = 1, 2. An example is given to illustrate one of the main results. Mathematics Subject Classication 2011: 34D05.

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Section: Introductionmentioning

confidence: 99%

Existence of solutions for a class of nonlinear boundary value problems on half-line

Ertem

Zafer

2012

Bound Value Probl

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“…Boundary value problems on the half-line arise quite naturally in the study of radially symmetric solutions of nonlinear elliptic equations and there are many results in this area; see [1][2][3][4][5] for examples. On the other hand, the theory of impulsive differential equations has been emerging as an important area of investigations in recent years (see [14,15]).…”

Section: Introductionmentioning

confidence: 99%

Boundary Value Problems on the Half-Line with Impulses and Infinite Delay

Yan

2001

Journal of Mathematical Analysis and Applications

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“…There have been many works concerning the existence of solutions for the boundary value problems on the half-line. We refer the reader to [1,2,3,4,6,8,9,10,11,12,13,14,15,16,19,20,22,23] and the references therein.…”

Section: Introductionmentioning

confidence: 99%