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Lecturer(s)
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Lášek António, prof. RNDr. Ph.D.
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Course content
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Week 1: motivation, simple examples Week 2: difference calculus, comparison with differential calculus Week 3-5: linear difference equations and methods of their solutions Week 6: stability theory Week 7-8: nonlinear systems and chaos Week 9-10: basic properties of partial difference equations Week 11-13: time scales calculus and applications, dynamic equations
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Learning activities and teaching methods
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Interactive lecture, Multimedia supported teaching, Individual study, Textual studies, Seminar
- Contact hours
- 26 hours per semester
- Graduate study programme term essay (40-50)
- 26 hours per semester
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| prerequisite |
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| Knowledge |
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| The seminar assumes the knowledge of ordinary differential equations within the range of KMA/ODR. |
| learning outcomes |
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| This seminar will enable a student to learn to solve elementary difference equations. Several common techniques will be introduced. The analysis of solutions will be closely studied in connection with the solutions of corresponding differential equations. Problems, which arise in discretization of continuous models (or in the opposite direction), will be discussed. |
| teaching methods |
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| Interactive lecture |
| Seminar |
| Multimedia supported teaching |
| Textual studies |
| Individual study |
| assessment methods |
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| Seminar work |
| Continuous assessment |
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Recommended literature
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Agarwal, Ravi P. Difference equations and inequalities : theory, methods and applications. 2nd ed., rev. New York : Marcel Dekker, 2000. ISBN 0-8247-9007-3.
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Bohner, Martin; Peterson, Allan. Dynamic equations on time scales : an introduction with applications. Boston : Birkhäuser, 2001. ISBN 0-8176-4225-0.
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Kelley, Walter G.; Peterson, Allan C. Difference equations : an introduction with applications. 2nd ed. San Diego : Harcourt Academic Press, 2001. ISBN 0-12-403330-X.
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