Publication Cover
Applicable Analysis
An International Journal
Volume 63, 1996 - Issue 3-4
21
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Existence of positive solutions of nonlinear second order differential systems

Pages 375-387 | Received 01 Sep 1996, Published online: 02 May 2007

  • Agarwal , R.P. and Henderson , J. 1996 . Superlinear and sublinear focal boundary value problems . Applicable Analysis , 60 : 189 – 200 .
  • Agarwal , R.P. , Sheng , Q. and Wong , P.J.Y. 1993 . Abel-Gontscharoff boundary value problems . Mathl. Comput. Modelling , 17 : 37 – 55 .
  • Agarwal R.P. O'Regan D. Singular boundary value problems for superlinear second order ordinary and delay differential equations J. Differential Equations (to appear).
  • Agarwal R.P. Wong P.J.Y. Existence of solutions for singular boundary value problems for higher order differential equations Rendiconti del Seminario Mathematico e Fisico di Milano (to appear)
  • Clément , P.H. , De Figueiredo , D. and Mitidieri , E. 1992 . Positive solutions of semilinear elliptic systems . Comm. Partial Diff. Equations , 17 : 923 – 940 .
  • Dalmasso , R. 1993 . Positive solutions of nonlinear elliptic systems . Ann. Polonici Math. , LVIII : 201 – 212 .
  • Dalmasso , R. 1995 . Uniqueness of positive solutions of nonlinear second order systems . Revista Matemática Iberoamericana , 11 : 247 – 267 .
  • Deimling , K. 1985 . Nonlinear Functional Analysis , New York : Springer .
  • De Figueiredo , D. , Lions , P.L. and Nussbaum , R.D. 1982 . A priori estimates and existence of positive solutions of semilinear elliptic systems . J. Math. Pures et Appl. , 61 : 41 – 63 .
  • Krasnoselskii , M. A. 1964 . Positive Solutions of Operator Equations , Groningen : Noordhoff .
  • Peletier , L.A. and Van Der Vorst , R.C.A.M. 1992 . Existence and Nonexistence of positive solutions of nonlinear elliptic systems and the biharmonic equation . J. Diff. Int. Equations , 5 : 747 – 767 .
  • Tory , W.C. 1981 . Symmetry properties in systems of semilinear elliptic equations in the annulus . J. Differential Equations , 42 : 400 – 413 .
  • Van Der Vorst , R.C.A.M. 1991 . Variational identies and applications to differential equations . Arch. Rational Mech. Anal. , 116 : 375 – 398 .
  • Wong , P.J.Y. and Agarwal , R.P. 1996 . Eigenvalues of boundary value problems for higher order differential equations . Mathematical problems in Engineering , 2 : 401 – 434 .
  • Wong , F.H. 1993 . Existence of positive solutions of singular boundary value problems . Nonlinear Analysis , 21 : 397 – 406 .
  • Wong , F.H. and Yu , S.L. in press . Uniqueness of positive solutions for singular nonlinear boundary value problems . Hiroshima Math. J. ,
  • Wong F.H. Lian W.C. Positive solution for singular boundary value problems Computers Math. Applic. (to appear)

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.