On the existence and uniqueness of solutions of a boundary value problem for an ordinary second-order differential equation
A. Lasota, Z. Opial (1967)
Colloquium Mathematicae
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A. Lasota, Z. Opial (1967)
Colloquium Mathematicae
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A. Lasota (1975)
Annales Polonici Mathematici
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D. D. Bainov (1970)
Matematički Vesnik
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Ashordia, M. (1995)
Memoirs on Differential Equations and Mathematical Physics
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Yakovlev, M.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Kvinikadze, George (1998)
Memoirs on Differential Equations and Mathematical Physics
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M. Cecchi, M. Marini, P. L. Zezza (1984)
Annales Polonici Mathematici
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Ashordia, Malkhaz (1995)
Memoirs on Differential Equations and Mathematical Physics
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A. Lasota (1980)
Annales Polonici Mathematici
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Henderson, Johnny, Ma, Ding (2006)
Boundary Value Problems [electronic only]
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A. Lasota (1968)
Annales Polonici Mathematici
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F. H. Szafraniec (1968)
Annales Polonici Mathematici
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Henderson, Johnny (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Qingliu Yao (2011)
Annales Polonici Mathematici
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This paper studies the existence of multiple positive solutions to a nonlinear fourth-order two-point boundary value problem, where the nonlinear term may be singular with respect to both time and space variables. In order to estimate the growth of the nonlinear term, we introduce new control functions. By applying the Hammerstein integral equation and the Guo-Krasnosel'skii fixed point theorem of cone expansion-compression type, several local existence theorems are proved.
B. Przeradzki (1990)
Annales Polonici Mathematici
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Henderson, Johnny, Johnson, Alvina M. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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