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National Repository of Grey Literature 2 records found  Search took 0.02 seconds. 
Functional analysis and the mathematical pendulum
 Čaputa, Daniel ; Šremr, Jiří (referee) ; Řehák, Pavel (advisor)
This thesis is focused on existence of periodic solutions of nonlinear model of mathematical pendulum with continuous, odd and periodic forcing term. In thesis, the differential equation of motion of pendulum is derived and the associated boundary value problem is rewritten as the integral equation. This equation is considered in a wider set of integral equations (Hammerstein equations). Fixed point theorems are applied on these equations what results in existence and uniqueness of solution. These results are applied on model of mathematical pendulum and the condition for uniqueness of solution is deeper discussed.
Detailed record
Functional analysis and the mathematical pendulum
 Čaputa, Daniel ; Šremr, Jiří (referee) ; Řehák, Pavel (advisor)
This thesis is focused on existence of periodic solutions of nonlinear model of mathematical pendulum with continuous, odd and periodic forcing term. In thesis, the differential equation of motion of pendulum is derived and the associated boundary value problem is rewritten as the integral equation. This equation is considered in a wider set of integral equations (Hammerstein equations). Fixed point theorems are applied on these equations what results in existence and uniqueness of solution. These results are applied on model of mathematical pendulum and the condition for uniqueness of solution is deeper discussed.
Detailed record

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