Geodesic
Existence of nonzero nonnegative solutions of semilinear equations at resonance
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 709-719.

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The existence of nonzero nonnegative solutions are established for semilinear equations at resonance with the zero solution and possessing at most linear growth. Applications are given to nonlinear boundary value problems of ordinary differential equations.
Classification : 34B15, 47H07, 47J05
Keywords: semilinear equations at resonance; boundary value problems 
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     author = {Fe\v{c}kan, Michal},
     title = {Existence of nonzero nonnegative solutions of semilinear equations at resonance},
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Fečkan, Michal. Existence of nonzero nonnegative solutions of semilinear equations at resonance. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 709-719. http://geodesic.mathdoc.fr/item/CMUC_1998__39_4_a6/