A singular initial value problem for second and third order differential equations

Wojciech Mydlarczyk

Colloquium Mathematicae (1995)

  • Volume: 68, Issue: 2, page 249-257
  • ISSN: 0010-1354

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Mydlarczyk, Wojciech. "A singular initial value problem for second and third order differential equations." Colloquium Mathematicae 68.2 (1995): 249-257. <http://eudml.org/doc/210309>.

@article{Mydlarczyk1995,
author = {Mydlarczyk, Wojciech},
journal = {Colloquium Mathematicae},
keywords = {initial value problems for second and third order differential equations; blowing up solutions; second order differential equation; a priori estimates; existence; unique positive; solution; initial value problem; blow-up},
language = {eng},
number = {2},
pages = {249-257},
title = {A singular initial value problem for second and third order differential equations},
url = {http://eudml.org/doc/210309},
volume = {68},
year = {1995},
}

TY - JOUR
AU - Mydlarczyk, Wojciech
TI - A singular initial value problem for second and third order differential equations
JO - Colloquium Mathematicae
PY - 1995
VL - 68
IS - 2
SP - 249
EP - 257
LA - eng
KW - initial value problems for second and third order differential equations; blowing up solutions; second order differential equation; a priori estimates; existence; unique positive; solution; initial value problem; blow-up
UR - http://eudml.org/doc/210309
ER -

References

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  1. [1] P. J. Bushell, On a class of Volterra and Fredholm nonlinear integral equations, Math. Proc. Cambridge Philos. Soc. 79 (1976), 329-335. Zbl0316.45003
  2. [2] P. J. Bushell and W. Okrasiński, Uniqueness of solutions for a class of nonlinear Volterra integral equations with convolution kernel, ibid. 106 (1989), 547-552. Zbl0689.45013
  3. [3] F.-H. Wong, Existence of positive solutions of singular boundary value problems, Nonlinear Anal. 21 (1993), 397-406. Zbl0790.34026
  4. [4] J. A. Gatica, V. Oliker and P. Waltman, Singular nonlinear boundary value problems for second order ordinary differential equations, J. Differential Equations 79 (1989), 62-78. Zbl0685.34017
  5. [5] G. Gripenberg, On the uniqueness of solutions of Volterra equations, J. Integral Equations 2 (1990), 421-430. Zbl0826.45002
  6. [6] R. K. Miller, Nonlinear Volterra Equations, Benjamin, New York, 1971. 
  7. [7] W. Mydlarczyk, The existence of nontrivial solutions of Volterra equations, Math. Scand. 68 (1991), 83-88. Zbl0701.45002
  8. [8] W. Mydlarczyk, An initial value problem for a third order differential equation, Ann. Polon. Math. 59 (1994), 215-223. Zbl0808.34004
  9. [9] W. Okrasiński, Nonlinear Volterra equations and physical applications, Extracta Math. 4 (1989), 51-80. 

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