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This course is about differential equations and covers material that all engineers should know. Both basic theory and applications are taught. In the first five weeks we will learn about ordinary differential equations, and in the final week, partial dif
In this paper,we are concerned with the existence of positive solutions for a class of fractional differential equations with integral boundary value problem.Furthermore,we obtain the existence of positive solutions by fixed point index theory under some conditions concerning the first eigenvalue with ...
The remainder of this paper is organized as follows. In “First class of reducible nonlinear partial differential equations”, we apply our methodology to the first class of reducible second-order partial differential equations to determine the exact solutions of NLPDEs of the first type. “Second ...
Moroz, V., Van Schaftingen, J.: Existence of groundstates for a class of nonlinear Choquard equations. Trans. Am. Math. Soc. 367(9), 6557–6579 (2015) Article MathSciNet Google Scholar Tarulli, M.: H^2-scattering for systems of weakly coupled fourth-order NLS equations in low space...
Piperevski17investigated the solution of the 3rd order shortened Lorenz system using integrability of a class of differential equations. Klöwer et al.18focused on chaotic dynamical systems, non-periodic simulations using deterministic finite-precision numbers invariably result in orbits that eventually ...
被引量: 12发表: 2010年 Solution behaviour in a class of difference–differential equations Difference equations with piecewise continuous nonlinearities and their singular perturbations, first order neutral type delay differential equations with small parameters, are considered. Solutions of the difference eq...
We consider non-linear parabolic evolution equations of the form ∂ t u = F ( t , x , D u , D 2 u ), subject to noise of the form H ( x , D u ) ∘ d B where H is linear in Du and ∘ d B denotes the Stratonovich differential of a multi-dimensional Brownian motion...
“Systems” dynamically solves systems of up to six equations. “Oscillations” solves second-order constant coefficient equations and animates the corresponding spring-mass system or RLC circuit. “Methods” constructs numerical approximations of a single ordinary differential equation using Euler’s ...
S. B. Agase and V. Raghavendra, “Existence of mild solutions of semilinear differential equations in Banach spaces,”Indian J. Pure Appl. Math.,21,No. 9, 813–821 (1990). Google Scholar M. Ahués, “A class of strongly stable operator approximations,”J. Austral. Math. Soc. Ser. B...