PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Multiple positive solutions to semipositone Dirichlet boundary value problems with singular dependent nonlinearities

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper we establish the existence of multiple positive solutions to semipositone Dirichlet boundary value problem by using the upper and lower solutions method with the existence theory in [1], where u > 0 is a constant. Here our nonlinearity/may be singular at y = 0.
Rocznik
Tom
Strony
24--37
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
  • Department of Mathematics, Northeast Normal University, Changchun 130024, P. R. China
autor
  • Department of Mathematics, Northeast Normal University, Changchun 130024, P. R. China
autor
  • Department of Mathematics, National University of Ireland, Galway, Ireland
  • Department of Mathematical Science, Florida Institute of Technology, Melbourne, Florida 32901-6975, USA
Bibliografia
  • [1] R.P. Agarwal, D. O'Regan, Semipositione Dirichlet boundary value problem with singular dependent nonlinearities, To appear in Houston. J. Math.
  • [2] R.P. Agarwal, D. O'Regan, Existence theorem for single and multiple solutions to singular positone boundary value problems, Jour. Differential Equations, 175(2001), 393-414.
  • [3] R.P. Agarwal, D. O'Regan, P.J.Y Wong, Positive solution of Differentaial, Difference and Integral equations, Kluwer Acad. Publishers, Dordrecht, 1999.
  • [4] L.E. Bobisud, Behaviour of solutions for a Robin problem, Jour. Differential Equations, 85(1990), 91-104.
  • [5] K. Deimling, Nonlinear functional analysis, Springer Verlag, 1985.
  • [6] P.W. Eloe, J . Henderson, Singular nonlinear (k,n - k) conjugate boundary value problem, Jour. Differential Equations, 133(1997), 136-151.
  • [7] C.P. Gupta, Existence and uniqueness theorems for a bending of an elastic beam equations, Applicable Analysis, 26(1988), 289-304.
  • [8] J.W. Lee, D. O'Regan, Existence principles for differential equations and systems of equations, Topological Methods in Differential Equations and Inclusions (edited by A. Grans and M. Frigon), NATO ASI Series c, Kluwer Acad. Pebl., Dordrecht, (1995), 239-289.
  • [9] L. Mengseng, On a fourth order eigenvalue problem, Advances in Math., 29(2000), 91-93.
  • [10] H.B. Thompson, Second order differential equations with fully nonlinear two point boundary value problems, Pacific Jour. Math., 172(1996), 255-277.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0042-0003
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.