Positive solutions for a class of nonresonant boundary-value problems
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This paper concerns the existence and multiplicity of positive solutions to the nonresonant second-order boundary-value problem
Lx = λw(t)ƒ(t, x).
We are interested in the operator Lx := -x″ + ρqx when w is in Lp for 1 ≤ p ≤ +∞. Our arguments are based on fixed point theorems in a cone and Hölder's inequality. The nonexistence of positive solutions is also studied.
CitationZhang, X. (2007). Positive solutions for a class of nonresonant boundary-value problems. Electronic Journal of Differential Equations, 2007(20), pp. 1-10.
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