On existence theorems for semilinear equations and applications
Annales Polonici Mathematici, Tome 107 (2013) no. 2, pp. 123-131.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Existence results for semilinear operator equations without the assumption of normal cones are obtained by the properties of a fixed point index for A-proper semilinear operators established by Cremins. As an application, the existence of positive solutions for a second order $m$-point boundary value problem at resonance is considered.
DOI : 10.4064/ap107-2-2
Keywords: existence results semilinear operator equations without assumption normal cones obtained properties fixed point index a proper semilinear operators established cremins application existence positive solutions second order m point boundary value problem resonance considered

Fang Zhang 1 ; Feng Wang 2

1 School of Mathematics and Physics Changzhou University Changzhou 213164, P.R. China
2 School of Mathematics and Physics Changzhou University Changzhou 213164, P. R. China
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Fang Zhang; Feng Wang. On existence theorems for semilinear
 equations and applications. Annales Polonici Mathematici, Tome 107 (2013) no. 2, pp. 123-131. doi : 10.4064/ap107-2-2. http://geodesic.mathdoc.fr/articles/10.4064/ap107-2-2/

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