Nonlinear hyperbolic systems with nonlocal boundary conditions (Q1108231)
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scientific article; zbMATH DE number 4066694
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear hyperbolic systems with nonlocal boundary conditions |
scientific article; zbMATH DE number 4066694 |
Statements
Nonlinear hyperbolic systems with nonlocal boundary conditions (English)
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1987
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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.
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boundary conditions of renewal type
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structured population dynamics
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density function
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nonlinear first-order hyperbolic partial differential equation
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nonlocal boundary conditions
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structured biological population
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Existence
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uniqueness
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positivity of solutions
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integral equation
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