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On existence of nonoscillatory solutions in forced nonlinear differential equations

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Abstract

For the equation

$$L_n y(t) + F(t,{\text{ }}y(t)) = f(t)$$

minimal sufficient conditions ensure the existence of a nonoscillatory solution.L n is a disconjugate differential operator of the form

$$L_n = \frac{{1{\text{ }}d{\text{ }}1}}{{p_n (t){\text{ }}dt{\text{ }}P_{n - 1} (t)}}...\frac{1}{{P_1 (t)}}.\frac{d}{{dt}}.\frac{.}{{p_0 (t)}}$$

.

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Singh, B. On existence of nonoscillatory solutions in forced nonlinear differential equations. Aeq. Math. 29, 150–161 (1985). https://doi.org/10.1007/BF02189823

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  • DOI: https://doi.org/10.1007/BF02189823

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