An initial value problem fora third order differential equation

Wojciech Mydlarczyk

Annales Polonici Mathematici (1994)

  • Volume: 59, Issue: 3, page 215-223
  • ISSN: 0066-2216

Abstract

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For an initial value problem u'''(x) = g(u(x)), u(0) = u'(0) = u''(0) = 0, x > 0, some theorems on existence and uniqueness of solutions are established.

How to cite

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Wojciech Mydlarczyk. "An initial value problem fora third order differential equation." Annales Polonici Mathematici 59.3 (1994): 215-223. <http://eudml.org/doc/262438>.

@article{WojciechMydlarczyk1994,
abstract = {For an initial value problem u'''(x) = g(u(x)), u(0) = u'(0) = u''(0) = 0, x > 0, some theorems on existence and uniqueness of solutions are established.},
author = {Wojciech Mydlarczyk},
journal = {Annales Polonici Mathematici},
keywords = {nonlinear Volterra integral equation; existence and uniqueness of solutions; initial value problem; existence; integral equation},
language = {eng},
number = {3},
pages = {215-223},
title = {An initial value problem fora third order differential equation},
url = {http://eudml.org/doc/262438},
volume = {59},
year = {1994},
}

TY - JOUR
AU - Wojciech Mydlarczyk
TI - An initial value problem fora third order differential equation
JO - Annales Polonici Mathematici
PY - 1994
VL - 59
IS - 3
SP - 215
EP - 223
AB - For an initial value problem u'''(x) = g(u(x)), u(0) = u'(0) = u''(0) = 0, x > 0, some theorems on existence and uniqueness of solutions are established.
LA - eng
KW - nonlinear Volterra integral equation; existence and uniqueness of solutions; initial value problem; existence; integral equation
UR - http://eudml.org/doc/262438
ER -

References

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  1. [1] P. J. Bushell and W. Okrasiński, Uniqueness of solutions for a class of nonlinear Volterra integral equations with convolution kernel, Math. Proc. Cambridge Philos. Soc. 106 (1989), 547-552. Zbl0689.45013
  2. [2] G. Gripenberg, Unique solutions of some Volterra integral equations, Math. Scand. 48 (1981), 59-67. Zbl0463.45002
  3. [3] W. Mydlarczyk, The existence of nontrivial solutions of Volterra equations, ibid. 68 (1991), 83-88. Zbl0701.45002
  4. [4] W. Okrasiński, Nontrivial solutions to nonlinear Volterra integral equations, SIAM J. Math. Anal. 22 (1991), 1007-1015. Zbl0735.45005
  5. [5] W. Okrasiński, Nontrivial solutions for a class of nonlinear Volterra equations with convolution kernel, J. Integral Equations Appl. 3 (1991), 399-409. Zbl0745.45001

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