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A boundedness result of Landesman-Lazer type. (English) Zbl 0817.34017

Author’s abstract: “A necessary and sufficient condition for the existence of a bounded solution of the equation of a forced oscillator is obtained. The proof is based on the method of guiding functions”.

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
34C11 Growth and boundedness of solutions to ordinary differential equations