Abstract
We consider the linear IVP (i) and the corresponding nonlinear IVP (ii) where A solution u belongs to the Operator P: L is linear, positive and of Volterra type. Here The essential results are (a) A Positivity Theorem for the linear equation (i) (b) A Comparison Theorem for the nonlinear equation (ii) (c) A precise characterization of inequalities like u(t)≥0 or v(t) ≤w(t) with respect to strict inequalities of components (d) A far—reaching generalization of M.Hirsch's theorem on strongly monotone flows e) Existence and Uniqueness Theorems under arathéodory hypotheses.
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.
