We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two ...

We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two ...

Dynamic systems, in general, and discrete dynamic systems based on iterative methods, in particular, have several features that can be exploited: they can be performed by computation and there are graphical tools ready to ...

Dynamic models describe many operations and processes that take place in several disciplines, including chemical engineering, economics, ecological engineering, management of communications services and aeronautics, among ...