DOAJ Open Access 2015

POSITIVE SOLUTIONS OF A NONLINEAR THREE-POINT EIGENVALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS

FAOUZI HADDOUCHI SLIMANE BENAICHA

Lihat Sumber

Abstrak

In this paper, we study the existence of positive solutions of a three-point integral boundary value problem (BVP) for the following second-order differential equation u''(t) + \lambda a(t)f(u(t)) = 0; 0 < t < 1; u'(0) = 0; u(1) = \alpha\int\limits_0^{\eta}{u(s)ds}, where \lambda > 0 is a parameter, 0 <\eta < 1, 0 <\alpha < 1/{\eta}. . By using the properties of the Green's function and Krasnoselskii's fixed point theorem on cones, the eigenvalue intervals of the nonlinear boundary value problem are considered, some sufficient conditions for the existence of at least one positive solutions are established.

Topik & Kata Kunci

Electronic computers. Computer science

Penulis (2)

FAOUZI HADDOUCHI

SLIMANE BENAICHA

Format Sitasi

APA MLA BibTeX

HADDOUCHI, F., BENAICHA, S. (2015). POSITIVE SOLUTIONS OF A NONLINEAR THREE-POINT EIGENVALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS. http://www.rjm-cs.ro/HaddouchiBenaicha-2-2015.pdf

Akses Cepat

PDF tidak tersedia langsung

Cek di sumber asli →

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2015
Sumber Database: DOAJ
Akses: Open Access ✓