Abstract
This chapter discusses monotone method for nonlinear boundary value problems by linearization techniques. Monotone methods have been used to generate multiple solutions of nonlinear boundary value problems for ordinary and partial differential equations. Keller and Sattinger, extending the chord method, considered nonlinear partial differential equations containing no gradient term. The inclusion of the gradient term was first introduced by Chandra and Davis who considered the boundary value problem. The chapter discusses the modification of a nonlinear method by providing a linear procedure. It also presents the monotone method and explains the existence of minimal and maximal solutions of a stated boundary value problem.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
