Two-point boundary value problems for second order systems

Ravi P. Agarwal; Jaromír Vosmanský

Archivum Mathematicum (1983)

  • Volume: 019, Issue: 1, page 1-8
  • ISSN: 0044-8753

How to cite

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Agarwal, Ravi P., and Vosmanský, Jaromír. "Two-point boundary value problems for second order systems." Archivum Mathematicum 019.1 (1983): 1-8. <http://eudml.org/doc/18100>.

@article{Agarwal1983,
author = {Agarwal, Ravi P., Vosmanský, Jaromír},
journal = {Archivum Mathematicum},
keywords = {spectral radius; Kantorovich-Schröder contraction mapping; Green's function},
language = {eng},
number = {1},
pages = {1-8},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Two-point boundary value problems for second order systems},
url = {http://eudml.org/doc/18100},
volume = {019},
year = {1983},
}

TY - JOUR
AU - Agarwal, Ravi P.
AU - Vosmanský, Jaromír
TI - Two-point boundary value problems for second order systems
JO - Archivum Mathematicum
PY - 1983
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 019
IS - 1
SP - 1
EP - 8
LA - eng
KW - spectral radius; Kantorovich-Schröder contraction mapping; Green's function
UR - http://eudml.org/doc/18100
ER -

References

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  1. Agarwal R. P., On periodic solution of nonlinear second order differential systems, J. Comp. Appl. Math. 5 (1979), 117-123. (1979) MR0536248
  2. Agarwal R. P., Akrivis G., Boundary value problems occuring in plate deflection theory, J. Comp. Appl. Math, (to appear). MR0682885
  3. Bailey P., Shampine L., Waltman P., Nonlinear Two-Point Boundary Value Problems, Academic Press, New York, 1968. (1968) Zbl0169.10502MR0230967
  4. Bernfeld S. R., Lakshmikantham V., An Introduction to Nonlinear Boundary Value Problems, Academic Press, New York, 1974. (1974) Zbl0286.34018MR0445048
  5. Chandra J., Lakshmikantham V., Mitchell A. R., Existence of solution of boundary value problems for nonlinear second order systems in a Banach space, Nonlinear Analysis: TMA, 2 (1978), 157-168. (1978) MR0512279
  6. Kantorovich L., The method of succesive approximations for functional equations, Acta Math. 71 (1939), 63-97. (1939) MR0000095
  7. Lettenmeyer F., Über die von einem Punkt ausgehenden Intergralkurven einer Differentialgleichung zweiter Ordnung, Deutsche Math. 7 (1942), 56-74. (1942) MR0017830
  8. Schroder J., Das Integrationsverfahren bei verzahlgeminertem Abstandsbegriff, Math. Z. 66 (1956), 111-116. (1956) MR0083816
  9. Usmani R. A., A uniqueness theorem for a boundary value problem, Proc. Amer. Math. Soc. 77 (1979), 329-335. (1979) Zbl0424.34019MR0545591
  10. Walter W., Existence theorems for a two-point boundary value problem in Banach space, Math. Ann. 244 (1974), 55-64. (1974) MR0550061

Citations in EuDML Documents

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  1. Bedřich Půža, О краевых задачах для систем обыкновенных дифференциальных уравнений 2-го порядка
  2. Valter Šeda, On a vector multipoint boundary value problem
  3. Ravi P. Agarwal, Jaromír Vosmanský, Necessary and sufficient conditions for the convergence of approximate Picard's iterates for nonlinear boundary value problems
  4. Ravi P. Agarwal, On Urabe's application of Newton's method to nonlinear boundary value problems

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