Electronic Journal of Differential Equations, Vol. 2020 (2020), No. 67, pp. 1-8. Title: Multiple solutions for mixed boundary value problems with phi-Laplacian operators Author: Dionicio Pastor Dallos Santos (Univ. de Buenos Aires, Argentina) Abstract: Using Leray-Schauder degree theory and the method of upper and lower solutions we establish existence and multiplicity of solutions for problems of the form $$\displaylines{ (\phi(u'))' = f(t,u,u') \cr u(0)= u(T)=u'(0), }$$ where $\phi$ is an increasing homeomorphism such that $\phi(0)=0$, and f is a continuous function. Submitted March 2, 2020. Published June 30, 2020. Math Subject Classifications: 34B15, 47H10, 47H11. Key Words: Nonlinear Schrodinger equation; inviscid limit; linear damping; forcing term.