(2019). We prove Landesman–Lazer type existence conditions for the solutions bounded on the real line, together with their first derivatives, for some second order nonlinear differential equations of the form x″+cx′+f(t, x)=0.The proofs use upper and lower solutions … We use the NDM to obtain exact solutions for three different types of nonlinear ordinary differential equations (NLODEs). Differential Equations Invariant Under Conditional Symmetries. We use the calculus of variations to determine the minimal additive forcing function that induces a desired terminal response, such as an energy in the case of a physical system. Jump to navigation Jump to search. Nonlinear Differential Equations and Applications NoDEA. To demonstrate the effectiveness of the method we consider here some systems of nonlinear fractional differential equations. Differential and integral calculus is one of the most important concepts in mathematics and appears naturally in numerous scientific problems that have been widely applied in physics, chemical technology, optimal control, finance, signal processing, etc. Dear Colleagues, Nonlinear differential equations, dynamical systems, and related topics are particularly trendy topics at present, as they have had wide and significant applications in many fields of Physics, Chemistry, Engineering, Biology or even Economics, in general, and Mathematics, in particular. Math. 2, pp. B. and Soltanalizadeh, B. is an international research journal of rapid publication devoted to the publication of significant articles in all areas and sub-areas of mathematical analysis and applications.. 8, 2020, no. nonlinear second order Differential equations with the methods of solving first and second order linear constant coefficient ordinary differential equation. [10] E. Babolian, F. Fattahzadeh, Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration, Applied Mathematics and Computations 188 (2007) 1016–1022. You’re seeing our new journal sites and we’d like your opinion, please send feedback. (2021) A discontinuous Galerkin method for systems of stochastic differential equations with applications to population biology, finance, and physics. One of them is called the first integral method, which is based on the ring theory of commutative algebra. and are modeled by ordinary or partial difference and differential equations. Journal of Computational and Applied Mathematics 388, 113297. 8, 2020, no. A necessary and sufficient condition is established for the existence of a $1 - 1$ transformation of a system of nonlinear differential equations to a system of linear equations. Read the latest articles of Partial Differential Equations in Applied Mathematics at ScienceDirect.com, Elsevier’s leading platform of peer-reviewed scholarly literature Reduction of systems of nonlinear partial differential equations to simplified involutive forms - Volume 7 Issue 6 - Gregory J. Reid, Allan D. Wittkopf, Alan Boulton Volumes and issues. Journal of Differential Equations | Citations: 9,362 | The Journal of Differential Equations is concerned with the theory and the application of differential equations. Here, we investigate the existence result for a nonlinear quadratic functional integral equation of fractional order using a fixed point theorem of Dhage. Comput. This paper is devoted to generalize Halanay's inequality which plays an important rule in study of stability of differential equations. Within their own discipline journal welcomes submissions not only from mathematicians, but from all scientists who differential. 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