Boundary value problems for 2n-th order nonlinear ordinary differential equation

References

• Agarwal , R.P. 1998 . Fucui Buundury Value Problems for Differentiul and Differential Equutions , Dordrecht : Kluwer Academic .
   Google Scholar
• Agarwal , R.P. , O'Regan , D. and Wong , P.J.Y. 1998 . “ Positive Solutions of Differential ” . In Difference, and Integrul Equations , Dordrecht : Kluwer Academic .
   Google Scholar
• Agarwal , R. and Wong , F.H. 1998 . Existence of positive solutions for higher order boundary value problems. . Nonlinear Srudies , 5 : 15 – 24 .
   Google Scholar
• Bandle , C. , Coffinan , C.V. and Marcus , M. 1987 . Nonlinear elliptic problems in annular domains . J. Differentiul Equations , 69 : 322 – 345 .
   Web of Science ®Google Scholar
• Davis , J.M. , Henderson , J. , Prasad , K.P. and Yin , W.K.C. “ Solvability of a nonlinear conjugate eigenvalue problem ” . In unud. Appl. Muth. Quurt., to appear.
   Google Scholar
• Dulicskrl , E. 1991 . “ Soil Serrlernent Effects on Buildings ” . In Developments in Geotechnical Engineering , Vol. 69 , Amsterdam : Elsevier .
   Google Scholar
• Eloe , P.W. 2000 . Nonlinear eigenvalue problems for higher order Lidstone boundary value problems . Electron. J. Differential Equutions , 2 : 1 – 8 .
   Google Scholar
• Eloe , P.W. and Henderson , J. 1995 . Positive solutions for higher order ordinary differential equalions. Electron. . J. Differenrial Equations , : 1 – 8 .
   Google Scholar
• Eloe , P.W and Henderson , J. 1997 . Positive solutions for it(n- 1,n) conjugate boundary value problems . Notlinear .Anal. , 183 : 1669 – 1680 .
   Google Scholar
• Eloe , P.W. and Henderson , J. 1998 . Positive solutions and nonlinear (k, n - k) conjugate eigenvaiue problems . Differential Equation Dynam Systems , 6 : 300 – 317 .
   Google Scholar
• Graef , J.R. and Yang , B. 1999 . On a nonlinear boundary value problem for fourth order equations . Appl. .Anal , 72 : 439 – 448 .
   Google Scholar
• Graef , J.R. and Yang , B. 2000 . Existence and nonexistence of positive solutions of fourth order nonlinear boundary value problems. . Appl. Anal. , 183 : 201 – 214 .
   Google Scholar
• Graef , J.R. and Yang , B. Boundary value problems for second order nonlinear ordinary differential equations . Comnzun. Appl. Anal. , to appear
   Google Scholar
• Graef , J.R. and Yang , B. 2001 . Positive solutions of a boundary value problem for fourth order nonlinear differential equation . Proceedings of Dynamic Sysrems and Applications , 3 : 217 – 224 . to appear
   Google Scholar
• Henderson , J. and Wang , H. 1997 . Positive solutions for nonlinear eigenvalue problems . J. Math. Anal. Appl. , 208 : 252 – 259 .
   Web of Science ®Google Scholar
• Krasnosel'skii , M.A. 1964 . Positive Solutions of Operator Equutions , Groningen : Noordhoff .
   Google Scholar
• Love , A.E.H. 1944 . A Trease an the Mathematical Theory of Elasticity , 4 , New York : Dover Publications .
   Google Scholar
• Ma , K. and Wang , H. 1995 . On the existence of positive solutions of fourth-order ordinary differntial equations. . Appl .Anal, , 59 : 225 – 231 .
   Google Scholar
• Ma , R. , Zhang , J. and Fu , S. 1997 . The method of lower and upper soiutions for fourth order two-point boundary value problems . J Math. Anal. Appl. , 215 : 415 – 422 .
   Google Scholar
• Manstield , B.H. 1964 . “ The Beding and Stretching of Plates ” . In International Series of Monographs on Aeronautics and Astronautics , 6 , New York : Pergamon .
   Google Scholar
• Soedel , W. 1964 . Vibrutions of-Shells and Plates , New York : Dekker .
   Google Scholar
• Wang , H. 1994 . On the existence of positive solutions for semilinear elliptic equation in the annulus . J. Differential Equations , 109 : 1 – 7 .
   Web of Science ®Google Scholar
• Wong , P.J.Y. and Agarwal , R. 1999 . Eigenvalues of Lidstone bondary value problems . Appl.Math.Comput. , 104 : 15 – 31 .
   Web of Science ®Google Scholar