Loading...
Please wait, while we are loading the content...
Similar Documents
Asymptotic behavior for a class of the renewal nonlinear equation with diffusion
| Content Provider | Semantic Scholar |
|---|---|
| Author | Michel, Philippe Touaoula, Tarik |
| Copyright Year | 2013 |
| Abstract | In this paper we consider nonlinear age structured equation with diffusion under nonlocal boundary condition and nonnegative initial data. More precisely, we prove that under some assumptions on the nonlinear term in a model of McKendrick-Von Foerster with diffusion in age, solutions exist and converge (long time convergence) towards a stationary solution. In the first part, we use classical analysis tools to prove the existence, uniqueness and the positivity of the solution. In the second part, using comparison principle, we prove the convergence of this solution towards the stationary solution. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/hal-00785171/file/paper%20(1).pdf |
| Alternate Webpage(s) | http://dspace.univ-tlemcen.dz/bitstream/112/1771/3/Asymptotic-behavior-for-a-class-of-the-renewal-nonlinear-equation-with-diffusion.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Cessation of life Converge Courant–Friedrichs–Lewy condition Infinity Nonlinear system Nonlocal Lagrangian Solutions Stationary process Stationary state |
| Content Type | Text |
| Resource Type | Article |
