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

Colloquium Mathematicae (1995)

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

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topMydlarczyk, 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

top- [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] 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] F.-H. Wong, Existence of positive solutions of singular boundary value problems, Nonlinear Anal. 21 (1993), 397-406. Zbl0790.34026
- [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] G. Gripenberg, On the uniqueness of solutions of Volterra equations, J. Integral Equations 2 (1990), 421-430. Zbl0826.45002
- [6] R. K. Miller, Nonlinear Volterra Equations, Benjamin, New York, 1971.
- [7] W. Mydlarczyk, The existence of nontrivial solutions of Volterra equations, Math. Scand. 68 (1991), 83-88. Zbl0701.45002
- [8] W. Mydlarczyk, An initial value problem for a third order differential equation, Ann. Polon. Math. 59 (1994), 215-223. Zbl0808.34004
- [9] W. Okrasiński, Nonlinear Volterra equations and physical applications, Extracta Math. 4 (1989), 51-80.

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