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The proposed book will introduce many physical applications of first-order ordinary differential equations, including biology, demography, economy, and finance. The theoretical framework is focused on the Cauchy problem and general solutions of homogeneous and nonhomogeneous second-order linear differential equations. The book also introduces second-order equations with applications to physics and mechanics and more advanced topics based on systems of first-order linear equations with applications to the spread of infections, cow rumen, prey, and predator modeling. The book will also contain topics on series solutions for first- and second-order linear equations, Laplace transform, and an introduction to stochastic differential equations and their applications in finance.
The author has held positions of Professor and Department Chair at Oklahoma State University, University of Miami, and the University of Texas at San Antonio, Texas. For more information, one might see the special issue of Nonlinear Analysis dedicated to his 85th birthday. He has served on the editorial boards of a dozen journals and as Chief Editor of Nonlinear Analysis and Advanced Nonlinear Studies.