Nonlinear hyperbolic systems with nonlocal boundary conditions
Copyright policy )Nonlinear hyperbolic systems with nonlocal boundary conditions
A nonlinear first-order hyperbolic partial differential equation with nonlocal boundary conditions and subject to an initial condition is studied as a mathematical model for a structured biological population. Its integral form is obtained by integration along the characteristic curves of the differential problem. Existence, uniqueness and positivity of solutions of the integral equation are studied.
- Sapienza University of Rome Italy
- Vanderbilt University United States
Other nonlinear integral equations, positivity of solutions, density function, Applied Mathematics, uniqueness, Initial-boundary value problems for first-order hyperbolic systems, Existence, structured population dynamics, structured biological population, Nonlinear elliptic equations, First-order nonlinear hyperbolic equations, nonlocal boundary conditions, Population dynamics (general), integral equation, boundary conditions of renewal type, nonlinear first-order hyperbolic partial differential equation, Initial value problems for first-order hyperbolic systems, Analysis
Other nonlinear integral equations, positivity of solutions, density function, Applied Mathematics, uniqueness, Initial-boundary value problems for first-order hyperbolic systems, Existence, structured population dynamics, structured biological population, Nonlinear elliptic equations, First-order nonlinear hyperbolic equations, nonlocal boundary conditions, Population dynamics (general), integral equation, boundary conditions of renewal type, nonlinear first-order hyperbolic partial differential equation, Initial value problems for first-order hyperbolic systems, Analysis
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