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On the solutions of $$n$$-th order nonlinear differential equation in $$L^2(0,\infty)$$. (English) Zbl 0516.34009

##### MSC:
 34A34 Nonlinear ordinary differential equations and systems 34A99 General theory for ordinary differential equations
##### Keywords:
solvability; integrability
Full Text:
##### References:
 [1] WINTNER A.: A criterion for the nonexistence of (L2)-solutions of a nonoscillatory differential equation. J. London Math. Soc. 25 (1950), 347-351. · Zbl 0037.34202 [2] DETKI J.: On the solvability of certain nonlinear ordinary second order differential equation in L’(O, \infty ). Math. Balkanica, (4) 21 (1974), 115-119. · Zbl 0318.34006
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