Positive Solutions for Singular Initial Value Problems with Sign Changing Nonlinearities Depending on y′

Lili Zhang; Baoqiang Yan

doi:10.55937/sut/1252507852

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Home > Journals > SUT J. Math. > Volume 43 > Issue 2 > Article

June 2007 Positive Solutions for Singular Initial Value Problems with Sign Changing Nonlinearities Depending on

y\prime

Lili Zhang, Baoqiang Yan

Author Affiliations +

Lili Zhang,¹ Baoqiang Yan¹
¹Department of Mathematics, Shandong Normal University Jinan, 250014, P.R. China

SUT J. Math. 43(2): 287-307 (June 2007). DOI: 10.55937/sut/1252507852

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Abstract

Using the theory of fixed point index, this paper presents the existence of positive solutions for the singular second-order initial value problems, where $f(t,y,y')$ may be singular at $y = 0$ and $y' = 0$ , and $f$ may change sign.

Funding Statement

The project is supported by the fund of National Natural Science(10571111) and the fund of Shandong Education Committee(J07WH08).

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Lili Zhang. Baoqiang Yan. "Positive Solutions for Singular Initial Value Problems with Sign Changing Nonlinearities Depending on $y\prime$ ." SUT J. Math. 43 (2) 287 - 307, June 2007. https://doi.org/10.55937/sut/1252507852