Geodesic
On existence theorems for semilinear equations and applications
Fang Zhang1 ; Feng Wang2
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
Annales Polonici Mathematici, Tome 107 (2013) no. 2, pp. 123-131 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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

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