Geodesic
Positive solutions with given slope of a nonlocal second order boundary value problem with sign changing nonlinearities
P. Ch. Tsamatos1
1 Department of Mathematics University of Ioannina 451 10 Ioannina, Greece
Annales Polonici Mathematici, Tome 83 (2004) no. 3, pp. 231-242

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

We study a nonlocal boundary value problem for the equation $x' '(t)+f(t, x(t),x'(t))=0$, $t\in [0,1]$. By applying fixed point theorems on appropriate cones, we prove that this boundary value problem admits positive solutions with slope in a given annulus. It is remarkable that we do not assume $f\ge 0$. Here the sign of the function $f$ may change.
DOI : 10.4064/ap83-3-5
Keywords: study nonlocal boundary value problem equation applying fixed point theorems appropriate cones prove boundary value problem admits positive solutions slope given annulus remarkable assume here sign function may change

P. Ch. Tsamatos 1

1 Department of Mathematics University of Ioannina 451 10 Ioannina, Greece 
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 with sign changing nonlinearities
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P. Ch. Tsamatos. Positive solutions with given slope
 of a nonlocal second order boundary value problem
 with sign changing nonlinearities. Annales Polonici Mathematici, Tome 83 (2004) no. 3, pp. 231-242. doi: 10.4064/ap83-3-5

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