The Viability for Volterra-Type Integral Equations: Viability for Volterra-Type Integral Equations

Omar BENNICHE; HABIB Ameur; HABIB Ameur

doi:10.5269/bspm.81253

The Viability for Volterra-Type Integral Equations

Viability for Volterra-Type Integral Equations

Autores

Omar BENNICHE Mathematics Departement, Matter and Computer Sciences Faculty, Khemis Miliana UniversityUniversity
HABIB Ameur Mathematics department; KHEMIS Miliana university
HABIB Ameur Mathematics department; KHEMIS Miliana university

DOI:

https://doi.org/10.5269/bspm.81253

Resumo

We study viability of closed state constraints for nonlinear Volterra-type integral equations
modeling hereditary (memory) effects. We introduce a history-aware Euler--Volterra approximation
that preserves the nonlocal structure of the dynamics and use it to derive a tangency criterion
ensuring viability of cylindrical constraint sets. Under continuity assumptions, the tangency
condition admits a checkable form through the diagonal kernel term $F(t,t,\cdot)$.