Purpose: This paper demonstrates that the numerical method is not everything for nonlinear equations. Some properties cannot be revealed numerically, an example is used to elucidate the fact. Design/methodology/approach: A variational principle is established for the generalized KdV-Burgers equation by...
Possum vs. Opossum: Is There a Difference? 'Za' and 9 Other Words to Help You Win at SCRABBLE 8 Words for Lesser-Known Musical Instruments Birds Say the Darndest Things Games & Quizzes See All Quordle Can you solve 4 words at once? Play Blossom Word Game Pick the best words...
integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. Covers differential equations and the associated integral equations. Features the finest original scientific results of Russian ma...
We examine a family of integrable differential-difference equations and obtain their non-autonomous extensions using a discrete/continuous integrability criterion. Introduction Integrable deautonomization of difference equations have been the object of intensive studies these past few years, in particular in...
dt d µ1 The equations describing the exchange between the shallow and deep oceans involve vs and vd, the volumes of the two regimes: () dσs = 1 dt vs (σd − σs)w − k1 − ps − d p µ2 , dσd dt = 1 vd (k1 − (σd − σs)w) , dαs dt = 1 ...
'Affect' vs. 'Effect' Words You Always Have to Look Up How to Use Em Dashes (—), En Dashes (–) , and Hyphens (-) Why is '-ed' sometimes pronounced at the end of a word? Democracy or Republic: What's the difference?
Roustemoglou, Towards the classification of integrable differential-difference equa- tions in 2 + 1 dimensions, arXiv:1303.3430 [nlin.SI].E V Ferapontov, V S Novikov, and I Roustemoglou. Towards the classification of integrable differential-difference equations in 2 + 1 dimensions. Journal of...
equations and parameters in the model18,23. This idea can be visualized by depicting regulatory networks as directed graphs, with nodes representing biological species, and pointed vs. blunt arrows indicating activation vs. repression, respectively (Fig.1). DDE models allow a single arrow to ...
Combining the equations above results in an equation relating the ratio of the two collector currents: (5.45)IC1IC2=eq(V1−V2)kT=eqVidkT We have defined the differential input voltage as the difference between the two inputs, or Vid = V1 − V2. Now, if βF >> 1 then IE ≈ ...
Fully-Differential Amplifiers 15 Search for TI fully differential amplifiers and technical resources SLOA054( Rs/2 R1 R2 –Vs 2 Vic Rt +Vs 2 Rs/2 R3 Vn – + Vp _ + R4 VOUT+ VOUT– VOCM Figure 17. Terminating a Differential Input Signal As long as a(f) >> 1 and the amplifier ...