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

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Mathematical Institute, University of Wrocław, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

initial value problems for second and third order differential equations, blowing up solutions

P. J. Bushell, On a class of Volterra and Fredholm nonlinear integral equations, Math. Proc. Cambridge Philos. Soc. 79 (1976), 329-335.
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.
F.-H. Wong, Existence of positive solutions of singular boundary value problems, Nonlinear Anal. 21 (1993), 397-406.
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.
G. Gripenberg, On the uniqueness of solutions of Volterra equations, J. Integral Equations 2 (1990), 421-430.
R. K. Miller, Nonlinear Volterra Equations, Benjamin, New York, 1971.
W. Mydlarczyk, The existence of nontrivial solutions of Volterra equations, Math. Scand. 68 (1991), 83-88.
W. Mydlarczyk, An initial value problem for a third order differential equation, Ann. Polon. Math. 59 (1994), 215-223.
W. Okrasiński, Nonlinear Volterra equations and physical applications, Extracta Math. 4 (1989), 51-80.