Bifurcation of solutions from infinity for certain nonlinear eigenvalue problems of fourth-order ordinary differential equations

Aliyev, ZiyatkhanMustafayeva, Natavan2022-02-022022-02-022018-04-27Aliyev, Z. S., & Mustafayeva, N. A. (2018). Bifurcation of solutions from infinity for certain nonlinear eigenvalue problems of fourth-order ordinary differential equations. <i>Electronic Journal of Differential Equations, 2018</i>(98), pp. 1-19.1072-6691https://hdl.handle.net/10877/15265In this article, we study the global bifurcation from infinity of nonlinear eigenvalue problems for ordinary differential equations of fourth order. We prove the existence of unbounded continua of solutions emanating from asymptotically bifurcation points and intervals and having the usual nodal properties near these points and intervals.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear eigenvalue problemsBifurcation pointBifurcation intervalBifurcation from infinityGlobal continuaNodal properties of solutionsBifurcation of solutions from infinity for certain nonlinear eigenvalue problems of fourth-order ordinary differential equationsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.