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Publication Cover
Applicable Analysis
An International Journal
Volume 49, 1993 - Issue 3-4
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Original Articles

Solutions of boundary value problems by matching methods

Johnny Henderson Department of Algebra, Combinatorics, and Analysis, Auburn University, Auburn, AL, 36849
&
R. Denise Taunton Department of Algebra, Combinatorics, and Analysis, Auburn University, Auburn, AL, 36849
Pages 235-246 | Published online: 02 May 2007

References

  • Bailey , P. , Shampine , L. and Waltman , P. 1968 . Nonlinear Two Point Boundary Value Problems , New York : Academic Press .
  • Barr , D. and Sherman , T. 1973 . Existence and uniqueness of solutions of three-point boundary value problems . J. Diff. Eqns , 13 : 197 – 212 .
  • Barr , D. and Miletta , P. 1974 . An existence and uniqueness criterion for solutions of boundary value problems . J. Dig. Eqns , 16 : 460 – 471 .
  • Chyan , C.J. and Henderson , J. 1990 . Application of Liapunov theory to multipoint boundary value problems . J. Math. Phy. Sci. , 24 : 415 – 420 .
  • Das , K.M. and Lalli , B.S. 1981 . Boundary value problems for y" [d] f (x, y, y′, y′′) . J. Math. Anal. Appl. , 81 : 300 – 307 .
  • Henderson , J. 1983 . Three-point boundary value problems for ordinary differential equations by matching solutions . Nonlinear Analysis , 7 : 411 – 417 .
  • Henderson , J. 1989 . Solution matching for boundary value problems for linear equations . International J. Math. and Math. Sci. , 12 : 713 – 720 .
  • Lakshmikantham , V. and Murty , K.N. 1991 . Theory of differential inequalities and three-point boundary value problems . PanAm. Math. J. , 1 : 1 – 9 .
  • Moorti , V.R.G. and Garner , J.B. 1978 . Existence-uniqueness theorems for three-point boundary value problems for nth-order nonlinear differential equations . J. Diff. Eqns , 29 : 205 – 213 .
  • Murty , K.N. and Prasad , B. D. C. N. 1985 . Applications of Liapunov theory to three-point boundary value problems . J. Math. Phy. Sci. , 19 : 225 – 234 .
  • Piao , W. and Shi , X. 1991 . Existence and uniqueness of two-point and three-point boundary value problems for third order nonlinear differential equations . Chinese Science Bulletin , 36 : 358 – 361 .
  • Rao , D.R.K.S. , Murty , K.N. and Rao , A.S. 1981 . On three-point boundary value problems associated with third order differential equations . Nonlinear Anal. , 5 : 699 – 673 .
  • Rao , D.R.K.S. , Murty , K.N. and Rao , A.S. 1984 . Three-point boundary value problems for nthorder differential equations . J. Math. Phy. Sci. , 18 : 323 – 327 .

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