Publication Cover
Applicable Analysis
An International Journal
Volume 39, 1990 - Issue 2-3
51
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Positive Solutions and Extremal Points for Differential Equations

&
Pages 193-207 | Received 20 Apr 1990, Published online: 02 May 2007

References

  • Ahmad , S and Lazer , A . 1977 . On the components of extremal solutions of second order systems . SIAM J.Math.Anal , 8 : 16 – 23 .
  • Ahmad , S and Lazer , A . 1978 . An N-dimensional extension of the Sturm separation and comparison theory to a class of nonselfad joint systems . SIAM J. Math. Anal , 9 : 1137 – 1150 .
  • Ahmad , S and Lazer , A . 1978 . Positive operators and Sturmian theory of nonself adjoint second-order systems , New York : Academic Press .
  • Amann , H . 1976 . Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces . SIAM Rev , 18 : 620 – 709 .
  • Deimling , K . 1985 . Nonlinear Functional Analysis , New York : Springer-Verlag .
  • Eloe , P.W . 1987 . Sign properties of Green's functions for two classes of boundary value problems . Canad. Math. Bull , 30 : 28 – 35 .
  • Eloe , P.W and Henderson , J . 1989 . Comparison of eigenvalues for a class of two-point boundary value problems . Appl. Anal , 34 : 25 – 34 .
  • Eloe , P.W and Henderson , J. 1989 . Comparison of eigenvalues for a class of multipoint boundary value problems , 34 preprint
  • Gentry , R.D and Travis , C.C . 1976 . Comparison of eigenvalues associated with linear differential equations of arbitrary order . Trans. Amer. Math. Soc , 223 : 167 – 179 .
  • Hankerson , D and Peterson , A . 1988 . Comparison theorems for eigenvalue problems for nth order differential equations . Proc. Amer. Math. Soc , 104 : 1204 – 1211 .
  • Hankerson , D and Peterson , A . 1990 . Comparison of eigenvalues for focal point problems for nth order difference equations . Differential and Integral Equations , 3 : 363 – 380 .
  • Keener , M.S and Travis , C.C . 1978 . Positive cones and focal points for a class of nth order differential equations . Trans. Amer. Math. Soc , 237 : 331 – 351 .
  • Keener , M.S and Travis , C.C . 1980 . Sturmian theory for a class of nonself ad joint differential systems . Ann. Mat. Pura Appl , 123 : 247 – 266 .
  • Krasnosel'skiT , M.A . 1962 . Positive Solutions of Operator Equations , Moscow : Fizmatgiz .
  • Krein , M.G and Rutman , M.A . 1962 . Linear operators leaving a cone invariant in a Banach space. In American Mathematical Society Translations . American Mathematical Society, Providence , 1 : 199 – 325 .
  • Schmitt , K and Smith , H.L . 1978 . Positive solutions and conjugate points for systems of differential equations . Nonlinear Anal , 2 : 93 – 105 .
  • Tomastik , E . 1983 . Comparison theorems for second order nonself ad joint differential systems . SIAM J. Math. Anal , 14 : 60 – 65 .
  • Tomastik , E . 1986 . Comparison theorems for conjugate points of nth order nonselfad-joint differential equations . Proc. Amer. Math. Soc , 96 : 437 – 442 .
  • Tomastik , E . 1988 . Comparison theorems for focal points of systems of nth order non-self adjoint differential equations . Rocky Mountain J. Math , 18 : 1 – 11 .
  • Travis , C.C . 1973 . Comparison of eigenvalues for linear differential equations of order 2n . Trans. Amer. Math. Soc , 177 : 363 – 374 .
  • Frederick A , Valentine . 1964 . Convex Sets , New York : McGraw-Hill .
  • Zeidler , E . 1985 . Nonlinear Functional Analysis and its Applications, I , New York : Springer-Verlag .

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.