Nonlinear hyperbolic systems with nonlocal boundary conditions

DOI10.1016/0022-247X(87)90255-1zbMath0653.92014MaRDI QIDQ1108231

Eugenio Sinestrari, Glenn F. Webb

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

integral equationuniquenessnonlocal boundary conditionsExistencedensity functionpositivity of solutionsstructured population dynamicsboundary conditions of renewal typenonlinear first-order hyperbolic partial differential equationstructured biological population

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Population dynamics (general) (92D25) Nonlinear elliptic equations (35J60) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (7)

Age-size structure in populations with quiescence ⋮ Exponentially convergent method for the first-order differential equation in a Banach space with integral nonlocal condition ⋮ The work of Glenn F. Webb ⋮ Monotone approximation for a nonlinear size and class age structured epidemic model ⋮ On the local Cauchy problem for Hamilton Jacobi equations with a functional dependence ⋮ Dynamics of populations structured by internal variables ⋮ Uniqueness results for unbounded solutions of first order nonlinear differential-functional equations

Cites Work

• Nonlinear, globally age-dependent population models: Some basic theory
• Mathematical modeling in epidemiology
• Semilinear hereditary hyperbolic systems with nonlocal boundary conditions. I
• Semilinear hereditary hyperbolic systems with nonlocal boundary conditions. II
• An age dependent epidemic model
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