By Hartmut Logemann,Eugene P Ryan
The ebook contains a rigorous and self-contained therapy of initial-value difficulties for usual differential equations. It also develops the fundamentals of keep watch over conception, that is a different characteristic in present textbook literature.
The following subject matters are really emphasised:
• life, specialty and continuation of solutions,
• non-stop dependence on preliminary data,
• qualitative behaviour of solutions,
• restrict sets,
• balance theory,
• invariance principles,
• introductory regulate theory,
• suggestions and stabilization.
The final goods conceal classical keep an eye on theoretic fabric comparable to linear keep watch over idea and absolute balance of nonlinear suggestions structures. it is usually an creation to the newer thought of input-to-state stability.
Only a easy grounding in linear algebra and research is thought. Ordinary Differential Equations could be compatible for ultimate 12 months undergraduate scholars of arithmetic and acceptable for starting postgraduates in arithmetic and in mathematically orientated engineering and science.
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