In this paper, we consider bifurcation from zero or infinity of nontrivial solutions the nonlinear Sturm–Liouville problem with indefinite weight. This is mainly important because it related a selection-migration model in genetic population. We show existence four families unbounded continua to bifurcating intervals line trivial R × {∞} (these are called intervals). Moreover, these global have ...

We consider the nonlinear beam equation utt + a(x)ut − f(ux)x + uxxxx = 0 in a bounded interval (0, 1) ⊂ R. The equation has an indefinite damping term, i.e., with a damping function a = a(x) possibly changing sign. For this non-dissipative situation we prove the exponential stability of the corresponding linearized system provided ā = ∫ 1 0 a(x)dx > 0 and ‖ a− ā ‖L2≤ τ , for τ small enough. We...

most fetal heart rate patterns can be interpreted accurately so that management decisions can be made correctly. how-ever, few fetal heart rate patterns are so ambiguous that the obstetricians cannot interpret them precisely. a 27-year-old woman at 38 weeks' gestation in her first pregnancy was admitted with heavy vaginal bleeding and decrease in fetal movements. fetal status was indeterminate ...