Abstract
We prove a result of Ambrosetti–Prodi type for the scalar periodic ODE x′=f(t,x)−s, where, seemingly for the first time in the literature, f(⋅,x) is allowed to have indefinite sign as |x|→+∞. Our result requires that f satisfies a one-sided growth control; in case such a control fails, non-existence occurs for large s>0, although multiplicity of solutions can still be detected provided f(⋅,0)=0 and s>0 is small enough.
Submitted Version (
Free)
Published Version
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 callSimilar Papers
Disclaimer: 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.
