Publication Cover
Applicable Analysis
An International Journal
Volume 69, 1998 - Issue 3-4
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Original Articles

Positive solutions to a class of second order differential equations with singular nonlinearities

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Pages 795-803 | Published online: 02 May 2007

  • Agarwal , R.P. and O'Regan , D. 1996 . Singular boundary value problems for superlinear second order ordinary and delay differential equations . J. Differentital equations , 130 : 333 – 355 .
  • Agarwal , R.P. and O'Regan , D. 1997 . Some new existence results for differential and integral equations . Nonlinear Anal. , 29 : 679 – 692 .
  • Dalmasso , R. 1988 . Solutions d'équations elliptiques semi-linéaires singulières . Ann. Mat. Pura Appl , 153 ( 4 ) : 191 – 201 .
  • Evtukhov , V.M. 1992 . On the asymptotics of the monotone solutions of Emden-Fowler type nonlinear differential equations . Differentsial'nye Uravneniya , 28 ( 4 ) : 1076 – 1078 . in Russian
  • Furusho , Y. , Kusano , T. and Ogata , A. 1994 . Symmetric positive entire solutions of second order quasilinear degenerate elliptic equations . Arch. Rational Mech. Anal. , 127 ( 4 ) : 231 – 254 .
  • Kiguradze , I.T. and Shekhter , B.L. 1987 . “ Singular boundary value problems for the second order differential equations, Modern Problems of Mathematics ” . In Newest Achievement , Vol. 30 , 105 – 201 . VINITI . in Russian
  • Kurokiba , M. , Kusano , T. and Wang , J. 1996 . Positive solutions of second order quasilinear differential equations with singular nonlinearities . Differentsial'nye Uravneniya , 32 : 1630 – 1637 . in Russian
  • Kusano , T. and Swanson , C.A. 1983 . Asymptotic properties of semilinear elliptic equations . Funkcial. Ekvac. , 34 : 85 – 95 .
  • Kusano , T. and Swanson , C.A. 1985 . Entire positive solutions of singular semilinear elliptic equations . Japan. J. Math. , 11 : 145 – 155 .
  • Kvinikadze , G.G. On singular boundary value problem for nonlinear ordinary differential equations . Proceedings of Ninth International Conference on Nonlinear Oscillations . Vol. 1 , pp. 166 – 168 . Naukova . Dumka, Kiev (in Russian)
  • Motai M. Usami H. On positive decaying solutions of singular quasilinear ordinary differential equations preprint
  • Taliaferro , S. 1978 . On the positive solutions of y"+φ(t)y−λ=0, . Nonlinear Anal. , 2 : 437 – 446 .
  • Usami , H. 1991 . On positive decaying solutions of singular Emden-Fowler type equations . Nonlinear Anal. , 16 : 795 – 803 .

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