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Multiplicity results for a third order boundary value problem at resonance. (English) Zbl 0932.34014
The author deals with the boundary value problem \[ x'''+ k^2x'+ g(x,x')= p(t),\quad x'(0)= x'(\pi)= x(\eta)= 0, \] where \(\eta\) is fixed, and the nonlinearity \(g\) is bounded. Existence and nonuniqueness of solutions are studied together with the structure of the solution set.

MSC:
34B15 Nonlinear boundary value problems for ordinary differential equations
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