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.


34B15 Nonlinear boundary value problems for ordinary differential equations
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