almost periodic functions and differential equations
Tài liệu 02 Ordinary Linear Differential and Difference Equations docx
... 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...
Functional analysis sobolev spaces and partial differential equations
... element A function p satisfying (1) and (2) is sometimes called a Minkowski functional H Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, DOI 10.1007/978-0-387-70914-7_1, ... Pick any x0 ∈ ω and r0 > such that B(x0 , r0 ) ⊂ ω Then, choose x1 ∈ B(x0 , r0 ) ∩ O1 and r1 > such that H Brezis, Functional Analysis, Sobolev Spaces and Pa...
Tài liệu Boundary Value Problems, Sixth Edition: and Partial Differential Equations pptx
... 1.8 and 3.5 and Chapter gives a very applied flavor Chapter reviews solution techniques and theory of ordinary differential equations and boundary value problems Equilibrium forms of the heat and ... CHAPTER Ordinary Differential Equations 0.1 0.2 0.3 0.4 0.5 CHAPTER Homogeneous Linear Equations Nonhomogeneous Linear Equations 14 Boundary Value Problems 26 Singula...
Partial Differential Equations and Fluid Mechanics doc
... Theory and applications of statistical solutions of the Navier–Stokes equations R Rosa 228 vii Preface This volume is the result of a workshop, Partial Differential Equations and Fluid Mechanics , ... autonomous Navier– Stokes equations In Doering & Wang (1998), the domain of the flow is Published in Partial Differential Equations and Fluid Mechanics, edited by James C Rob...
stochastic integration and differential equations 2ed - protter
... of the stable law, and also constants ml 0, m2 > 0, and such that E { e i u x ) = eG(u )and +(u)= iu6 + mil 00 iux (ehX - - -) -dx +x2 u + rn2 J _ O O ( e i ~1~ -) -i+ x x - - XI+" dx /x11+" One ... E{Nt) < co and e Theorem 24 Let N b a Poisson process with intensity A Then Nt -At and (Nt - At)2 - At are martingales Proof Since A is non-random, the process N...
Báo cáo hóa học: "Research Article Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions" potx
... some definitions and basic results of almost periodic functions, Stepanov almost periodic functions, pseudo -almost periodic functions, and Stepanov- like pseudo -almost periodic functions for more ... further study on the composition theorems of Stepanov almost- periodic functions and Stepanov- like pseudo -almost periodic functions As one will...
Báo cáo sinh học: " Research Article Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations" potx
... new inequalities, we obtain sufficient conditions for the existence of periodic solutions for 1.3 The Lyapunov stability of periodic solutions for the equation will then be established Finally, ... results of Theorems 3.1 and 3.2 still hold Next, we study the Lyapunov stability of the periodic solutions of 3.32 Theorem 3.5 Assume that H4 holds Then every...
Báo cáo hóa học: " Research Article On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument" ppt
... Difference Equations 12 R Yuan, On the spectrum of almost periodic solution of second-order differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, ... to: On the spectrum of almost periodic solution of second order scalar functional differential equations with piecewise constant argument”,” J...
Báo cáo hóa học: " Research Article On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations Zong-Xuan Chen and Shi-An Gao" pdf
... Valiron, Lectures on the General Theory of Integral Functions, Chelsea, New York, NY, USA, 1949 [8] Y.-M Chiang and S.-A Gao, On a problem in complex oscillation theory of periodic second order ... result on the complex oscillation theory of periodic second order linear differential equations, ” Proceedings of the Edinburgh Mathematical Society, vol 33, no 1, pp 143...
Báo cáo hóa học: "Research Article Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay" pdf
... purposes and some stability definitions of a bounded solution of (1.1) In Section 3, we discuss the existence of periodic solutions of (1.1) In Section 4, we discuss the existence of almost periodic solutions ... proof of Theorem 3.4, we can show that { p(n)} is an ω -periodic solution of (3.1) Almost periodic systems In this section, we discuss the existence of...
Báo cáo hóa học: " NIELSEN NUMBER AND DIFFERENTIAL EQUATIONS" doc
... [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...
Báo cáo toán học: "Almost Periodic Solutions of Evolution Equations Associated with C-Semigroups: An Approach Via Implicit Difference Equations" doc
... Nguyen Minh Man 64 on the asymptotic behavior of solutions of ill-posed equations associated with C-semigroups The existence of almost periodic solutions to ill-posed evolution equations of the form ... existence of periodic solutions of systems of differential equations, Duke Math J 17 (1950) 457–475 16 Nguyen Van Minh and Nguyen Minh Man, On the asymptotic...
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