Abstract
The convergence of the solution of the nonlinear singular perturbation problem Ud'J + aU´ { + e2AnUe £ + g(AUe e) + h(t, A)]f(A)Ue e = 0, C/e e(0) = x0, f/´ €'(0) = zi for ϵ > 0 to the solution of the degenerate problem (ϵ - 0) is studied. Here a [math001] 0 is a constant and A is a (generally unbounded) self- adjoint linear operator in Hilbert space. The problem is nonlocal, nonlinear, and time dependent because of g(‖AU‖)f(A)U and h(t,A). The existence of solutions is proven simultaneously with asymptotic behaviour.
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.
