Solving a periodic boundary value problem with the initial value problem method. (English) Zbl 0911.34017

Li, Weiguo

J. Math. Anal. Appl. 226, No. 1, 259-270 (1998).

Summary: The author uses bifurcation theory to study positive, negative, and sign-changing solutions for several classes of boundary value problems, depending on a real parameter \(\lambda\). It is shown the existence of infinitely many points of pitchfork bifurcation, and global properties of the solution curves are studied. \(\copyright\) 1998 Academic Press.

MSC:

34B15	Nonlinear boundary value problems for ordinary differential equations
34C23	Bifurcation theory for ordinary differential equations

Keywords:

Crandall-Rabinowitz bifurcation theorem; global solution branches

References:

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