Existence and uniqueness of solutions of multipoint boundary value problems for ordinary differential equations

Marian Gewert

Colloquium Mathematicae (1993)

  • Volume: 64, Issue: 2, page 253-264
  • ISSN: 0010-1354

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Gewert, Marian. "Existence and uniqueness of solutions of multipoint boundary value problems for ordinary differential equations." Colloquium Mathematicae 64.2 (1993): 253-264. <http://eudml.org/doc/210189>.

@article{Gewert1993,
author = {Gewert, Marian},
journal = {Colloquium Mathematicae},
keywords = {three-point boundary value problem; uniqueness; existence},
language = {eng},
number = {2},
pages = {253-264},
title = {Existence and uniqueness of solutions of multipoint boundary value problems for ordinary differential equations},
url = {http://eudml.org/doc/210189},
volume = {64},
year = {1993},
}

TY - JOUR
AU - Gewert, Marian
TI - Existence and uniqueness of solutions of multipoint boundary value problems for ordinary differential equations
JO - Colloquium Mathematicae
PY - 1993
VL - 64
IS - 2
SP - 253
EP - 264
LA - eng
KW - three-point boundary value problem; uniqueness; existence
UR - http://eudml.org/doc/210189
ER -

References

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  1. [1] D. Barr and T. Scherman, Existence and uniqueness of solutions of three-point boundary value problems, J. Differential Equations 13 (1973), 197-212. Zbl0261.34014
  2. [2] K. M. Das and B. S. Lalli, Boundary value problems for y'''= f(x,y,y',y''), J. Math. Anal. Appl. 81 (1981), 300-307. Zbl0465.34012
  3. [3] D. Gale and H. Nikado, The Jacobian matrix and global univalence of mappings, Math. Ann. 159 (1965), 81-93. Zbl0158.04903
  4. [4] J. B. Garner, Boundary conditions for the linear differential equation, Amer. Math. Monthly 69 (1962), 47-50. 
  5. [5] J. B. Garner, A multiple-point boundary condition for linear differential systems, ibid. 70 (1963), 850-852. Zbl0117.06001
  6. [6] J. B. Garner, Solutions of linear differential systems satisfying multiple-point boundary conditions, ibid. 73 (1966), 6-10. 
  7. [7] J. B. Garner and L. P. Burton, Solutions of linear differential systems satisfying boundary conditions in the large, Proc. Amer. Math. Soc. 12 (1961), 100-106. Zbl0099.06802
  8. [8] M. Gewert, A class of two-point boundary value problems for systems of ordinary differential equations, J. Math. Anal. Appl. 109 (1985), 1-21. Zbl0584.34008
  9. [9] V. R. G. Moorti and J. B. Garner, Existence-uniqueness theorems for three-point boundary value problems for nth-order nonlinear differential equations, J. Differential Equations 29 (1978), 205-213. Zbl0355.34006

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