Convergence of a continuous BGK model for conservation laws on the quarter plane Original Research Article

Values of λ are determined for which there exist positive solutions of the nth-order functional differential equation, (−1)n−ku(n)(t) = λa(t)f(ut), 0 < t < 1, satisfying the initial condition, u(s) = φ(s), −r ≤ s ≤ 0, and satisfying the boundary condition