90 Math 1bCalculus, Series, and Differential Equations

... Learn how to model complex situations with mathematics  To read, write, and critique mathematical arguments Course Head  Dr Matthew Leingang leingang @math. harvard.edu (not leingang@fas) Science ... QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture For those who have taken AP Calculus BC  Math 1a and 1b together cover the Calculus BC syllabus  Mat...

Ngày tải lên: 15/06/2017, 20:20

Ngày tải lên: 13/05/2014, 12:16

... [20]), (d) relative Nielsen numbers (on the total space or on the complement) (see [12]), (e) Nielsen number for periodic points (see [13]), (f) Nielsen number for invariant and periodic sets (see ... equations and inclusions: (a) Nielsen number for compact maps ϕ ∈ K (see [2, 11]), (b) Nielsen number for compact absorbing contractions ϕ ∈ CAC (see [10]), (c) Nielsen...

Ngày tải lên: 23/06/2014, 00:20

... Almost periodic functions and differential equations Almost periodic functions and differential equations B.M.LEVITAN & V.V.ZHIKOV Translated by ... sum f(t)+g(t) of two almost periodic functions is almost periodic The product of an almost periodic function f(t) and a numerical almost periodic function (t) is almost periodic Proof Let hn ... wea...

Ngày tải lên: 29/10/2015, 12:29

Ngày tải lên: 08/04/2014, 12:26

Ngày tải lên: 12/06/2014, 16:17

... 2 Ordinary Linear Differential and Difference Equations 2.1 Differential Equations Classical Solution • Method of Convolution 2.2 Difference Equations Initial Conditions and Iterative ... discussion of differential equations can be found in numerous texts on the subject [1] 2.2 Difference Equations The development of difference equations is parallel to that o...

Ngày tải lên: 27/01/2014, 03:20

... [W] ✷ Lemma (i) E is locally strictly convex in (S, V ) (ii) F is locally strictly concave in T , locally strictly convex in V (iii) H is locally strictly concave in P , locally strictly convex ... differential form of Harnack’s inequality Clausius inequality a Cycles b Heating c Almost reversible cycles V Conservation laws and kinetic equations A Some physical PDE Compressible Euler eq...

Ngày tải lên: 17/03/2014, 14:29

... Journal of Science, Mathematics - Physics 23 (2007) 6 3-6 9 Main results 2.1 The uniformly stable of null solution of delay differential equations Let us consider the delay differential equations ... model of population, we will give the following results : a If the C0 - semigoup operator (T (t))t≥0 is uniformly bounded then the null solution of E...

Ngày tải lên: 22/03/2014, 11:20

... type, which we prove to be Lp-bounded for < p < and invertible The Lp-boundedness is a consequence of the Lp-boundedness of the Cauchy integral (Coifman, McIntosh and Meyer) Z fw Tf (z) = w (? ... implication since a harmonic function u which satis es ( ) has non-tangential limits a.e on @ Rn+1, the limit-function u0 = u( ; 0) Lp(Rn) and + u(x; y) = py u0(x) Sketch of a proof Assume u...

Ngày tải lên: 31/03/2014, 15:16