Abstract
For a nonlinear differential equation $x^{\prime\prime}+a(t)f(x)=0,$ we obtain limit-point criteria by proving first stronger results which guarantee nonexistence of nontrivial bounded (uniformly continuous) $L^{2}$-solutions under milder restrictions on the coefficient $a(t)$ and nonlinearity $f(x)$.
Citation
Octavian G. Mustafa. Yuri V. Rogovchenko. "Limit-point criteria for superlinear differential equations." Bull. Belg. Math. Soc. Simon Stevin 11 (3) 431 - 440, September 2004. https://doi.org/10.36045/bbms/1093351382
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