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Solutions of a Differential Equation Arising in Chemical Reactor Processes

1974; Society for Industrial and Applied Mathematics; Volume: 26; Issue: 4 Linguagem: Inglês

10.1137/0126063

1095-712X

Seymour V. Parter,

Spectral Theory in Mathematical Physics

Consider the boundary value problem $y'' + (1/x)y' + \beta f(y) = 0,y'(0) = 0,y(\tau ) = \tau $, where $\beta \geqq 0,\tau \geqq 0$. The function $f(y)$ satisfies certain properties which generalize the properties of $f_0 (y) = \exp ( - 1/| y |)$ . We are concerned with the number of solutions in various regions of the $\tau ,\beta $-plane.