Set-valued collectively compact operators and applications to set-valued differential equations
Copyright policy )Set-valued collectively compact operators and applications to set-valued differential equations
Recent theorems on sequences of collectively compact operators which approximate the operator of a given fixed point problem are generalized to set-valued operators. By means of these theorems, not only an easy access to some recent results with respect to the numerical treatment of set-valued initial value problems (p. e. arising from initial value problems with discontinuous right-hand-side) can be given, but also an access to the numerical treatment of set-valued boundary value problems (p. e. arising from physical systems with constraints) is presented.
- Universität Hamburg Germany
Numerical solution of boundary value problems involving ordinary differential equations, set-valued differential equations, accretive operators in Banach spaces, Fixed-point theorems, differential inclusions, Numerical solutions to equations with nonlinear operators, iterative methods, set-valued collectively compact operators, Numerical methods for initial value problems involving ordinary differential equations, Nonlinear accretive operators, dissipative operators, etc., Ordinary differential inclusions
Numerical solution of boundary value problems involving ordinary differential equations, set-valued differential equations, accretive operators in Banach spaces, Fixed-point theorems, differential inclusions, Numerical solutions to equations with nonlinear operators, iterative methods, set-valued collectively compact operators, Numerical methods for initial value problems involving ordinary differential equations, Nonlinear accretive operators, dissipative operators, etc., Ordinary differential inclusions
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