Geodesic
A note on solutions of semilinear equations at resonance in a cone
Annales Polonici Mathematici, Tome 58 (1993) no. 1, pp. 95-103
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A connection between the Landesman-Lazer condition and the solvability of the equation Lx = N(x) in a cone with a noninvertible linear operator L is studied. The result is based on the abstract framework from [5], applied to the existence of periodic solutions of ordinary differential equations, and compared with theorems by Santanilla (see [7]).
DOI : 10.4064/ap-58-1-95-103
Keywords: nonnegative solutions, equations at resonance 
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Bogdan Przeradzki. A note on solutions of semilinear equations at resonance in a cone. Annales Polonici Mathematici, Tome 58 (1993) no. 1, pp. 95-103. doi: 10.4064/ap-58-1-95-103

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