Details
Non-Instantaneous Impulses in Differential Equations
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96,29 € |
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| Verlag: | Springer |
| Format: | |
| Veröffentl.: | 27.10.2017 |
| ISBN/EAN: | 9783319663845 |
| Sprache: | englisch |
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Beschreibungen
<div>This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology and pharmacokinetics. The authors examine a wide scope of differential equations with non-instantaneous impulses through three comprehensive chapters, providing an all-rounded and unique presentation on the topic, including:</div><div><br></div><div>- Ordinary differential equations with non-instantaneous impulses (scalar and n-dimensional case)</div><div>- Fractional differential equa</div>tions with non-instantaneous impulses (with Caputo fractional derivatives of order q ϵ (0, 1))<div>- Ordinary differential equations with non-instantaneous impulses occurring at random moments (with exponential, Erlang, or Gamma distribution)</div><div><br></div><div>Each chapter focuses on theory, proofs and examples, and contains numerous graphs to enrich the reader’s understanding. Additionally, a carefully selected bibliography is included. Graduate students at various levels as well as researchers in differential equations and related fields will find this a valuable resource of both introductory and advanced material.</div><br>
<p>Preface.- Introduction.- 1. Non-instantaneous Impulses in Differential Equations.- 2. Non-instantaneous Impulses in Differential Equations with Caputo fractional derivatives.- 3. Non-instantaneous Impulses on Random time in Differential Equations with Ordinary/Fractional Derivatives.- Bibliography.</p>
<p>Ravi P. Agarwal is a professor and the chair in the Department of Mathematics at Texas A&M University, Kingsville.</p> <p>Snezhana Hristova is a professor in the Department of Applied Mathematics and Modeling at Plovdiv University in Plovdiv, Bulgaria.</p> <p>Donal O'Regan is a professor in the School of Mathematics, Statistics and Applied Mathematics at the National University of Ireland in Galway, Ireland.</p>
<div>This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology and pharmacokinetics. The authors examine a wide scope of differential equations with non-instantaneous impulses through three comprehensive chapters, providing an all-rounded and unique presentation on the topic, including:</div><div><br></div><div>- Ordinary differential equations with non-instantaneous impulses (scalar and n-dimensional case)</div><div>- Fractional differential equa</div>tions with non-instantaneous impulses (with Caputo fractional derivatives of order q ϵ (0, 1))<div>- Ordinary differential equations with non-instantaneous impulses occurring at random moments (with exponential, Erlang, or Gamma distribution)</div><div><br></div><div>Each chapter focuses on theory, proofs and examples, and contains numerous graphs to enrich the reader’s understanding. Additionally, a carefully selected bibliography is included. Graduate students at various levels as well as researchers in differential equations and related fields will find this a valuable resource of both introductory and advanced material.</div>
<p>Offers three thorough chapters devoted to theory, proofs, and examples</p><p>Investigates a wide class of differential equations with non-instantaneous impulses</p><p>Equips readers with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology, and pharmacokinetics</p><p>Includes supplementary material: sn.pub/extras</p>
<p>Offers three thorough chapters devoted to theory, proofs, and examples</p> <p>Investigates a wide class of differential equations with non-instantaneous impulses</p> <p>Equips readers with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology, and pharmacokinetics</p>
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