Differential Equations Research Papers - Academia.edu.

The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools.

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View Differential Equations Research Papers on Academia.edu for free.View Ordinary Differential Equations (ODE) Research Papers on Academia.edu for free.International Journal of Differential Equations publishes research on differential equations, and related integral equations, from all scientists who use differential equations as tools within their own discipline.


Dear Colleagues, One might say that ordinary differential equations (notably in Isaac Newton’s analysis of the motion of celestial bodies) had a central role in the development of modern applied mathematics.Recent Journal of Differential Equations Articles Recently published articles from Journal of Differential Equations. Global structure of solutions toward the rarefaction waves for the Cauchy problem of the scalar conservation law with nonlinear viscosity 15 November 2020.

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The purpose of this paper is to obtain solutions for both linear and nonlinear initial value problems (IVPs) for fractional transport equations and fractional diffusion-wave equations using the.

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This report is intended as a brief introduction to the study of differential-difference equations. We shall outline some of the main features of the theory as it stands at the present time, suggest one or two areas of application, and mention one or two unsolved problems.

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Abstract Origami is the ancient Japanese art of folding paper and it has well known algebraic and geometrical properties, but it also has unexpected relations with partial differential equations.

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The Editor-in-Chief, Professor Jichun Li from the University of Nevada, and the rest of the esteemed editorial board are looking for novel contributions in topics such as Numerical Methods for PDEs, Numerical Linear Algebra, Optimization, Stochastic Systems, Differential Equations, Mathematical Modelling, Imaging and Data Analysis. Articles can be full research papers or microarticles.

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On Sobolev regularizations of hyperbolic conservation laws, by Bradley J. Lucier, Communications in Partial Differential Equations, 10. (1987), s203-s219. Reprinted in Selected Papers from the Second Conference on Parallel Processing for Scientific Computing, C. W. Gear and R. G. Voight, eds., SIAM, Philadelphia, 1987. Abstract: We generalize the first author's adaptive numerical scheme for.

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In this chapter we describe procedures for solving 4 types of differential equations of first order, namely, the class of differential equations of first order where variables x and y can be separated, the class of exact equations (equation (2.3) is to be satisfied by the coefficients of dx and dy, the class of linear differential equations having a standard form (2.7) and the class of those.

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In this paper, the Laplace Transform is used to find explicit solutions of a fam-ily of second order Differential Equations with non-constant coefficients. For some of these equations, it is possible to find the solutions using standard tech-niques of solving Ordinary Differential Equations. For others, it seems to be very difficult indeed impossible to find explicit solutions using.

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The list of research problems proposed in September 1962 by Mauricio Peixoto at the Seminar on the Qualitative Theory of Di erential Equations is pointed out as a landmark for the genesis of the research interest in the Qualitative Theory of Di erential Equations and Dynamical Systems in Brazil. Mathematical Subject Classi cation: 01A60, 01A67, 37C20. Just as every human undertaking pursues.

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In this paper, a class of fourth-order differential equations with advanced type is studied. Applying the generalized Riccati transformation, integral averaging technique and the theory of comparison, a set of new criteria for oscillation or certain asymptotic behavior of solutions of this equations is given. Our results essentially improve and complement some earlier publications.

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