microand nanofabrication with periodic precipitation
báo cáo hóa học:" Research Article On Homoclinic Solutions of a Semilinear p-Laplacian Difference Equation with Periodic Coefficients" pptx
... Theorem 1.1 can be applied for f k, t b k t3 c k t5 with b k , c k , T -periodic, and c k positive Then f k, t satisfies assumptions F1 – F3 with μ and as a consequence we have the following corollary ... Theorem 1.1 max{W k : k ∈ 0, T − }, Example 2.5 Let W k > be a T -periodic sequence, W1 p ≥ q > and r > q be fixed Consider problem 1.10 with f k, t ⎧ ⎨W k ϕr t if |t| ≤ 1, ⎩W k ϕ t q if |t| ≥ 2.31 ... equation V k u k |u k |q−2 − λb k u k |u k |r−2 Δ4 u k − − aΔ2 u k − 0, 3.2 with r > q > C Second-order difference equations with cubic and quintic nonlinearities of the forms Δ2 u k − − V k u k λ...
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Báo cáo hóa học: "Research Article Z-Complementary Sets Based on Sequences with Periodic and Aperiodic Zero Correlation Zone" pptx
... with N element sequences of length L, written as A = {Ai , ≤ i ≤ N } with each element sequence Ai = (Ai (0), Ai (1), , Ai (L − 1)) Then A = {Ai , ≤ i ≤ N } is a Z-complementary sequence with ... complex conjugate When Ai = Bi , the above definition becomes aperiodic ACF ψAi ,Ai (τ) In addition to aperiodic correlation properties, periodic correlation properties are also important for system ... Construction Given an arbitrary PAZCZ sequence set S with set size K and sequences length L, let S possess the ZCZ of one-sided length Z for periodic and aperiodic correlation functions Then S can be...
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Báo cáo hóa học: " Structural Analysis of Highly Relaxed GaSb Grown on GaAs Substrates with Periodic Interfacial Array of 90° Misfit Dislocations" potx
... figure with a periodicity of 5.6 nm This periodicity corresponds to exactly one misfit dislocation for every 14 lattice sites of GaAs or 13 lattice sites of GaSb This value is in good agreement with ... showing a periodic IMF array with a periodicity of 5.6 nm, as dark spots, at the GaSb/GaAs interface b SAED double diffraction pattern of IMF growth mode, and c XTEM of non-IMF growth mode with high ... substrates with very low TD densities (*105 cm-2) despite the high (7.8%) lattice mismatch The strain due to lattice mismatch is relieved immediately at the GaSb/GaAs heterointerface with the help of periodic, ...
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Báo cáo hóa học: " Research Article Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions" potx
... difference equations with periodic boundary conditions,” Applied Mathematics and Computation, vol 156, no 3, pp 605–620, 2004 [10] W.-T Li and H.-F Huo, “Global attractivity of positive periodic solutions ... note that we could consider impulsive BVPs with an arbitrary finite number of impulses However, for clarity and brevity, we restrict our attention to BVPs with one impulse In addition, the difference ... epidemic model with vertical transmission,” Applied Mathematics Letters, vol 18, no 7, pp 729–732, 2005 [8] S Gao, L Chen, J J Nieto, and A Torres, “Analysis of a delayed epidemic model with pulse...
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Báo cáo hóa học: " Research Article Step Size Bound of the Sequential Partial Update LMS Algorithm with Periodic Input Signals" potx
... factor is affected by a much more restrictive condition with a periodic reference than with a white noise reference It has been proved that with a sinusoidal reference, the upper bound of the step ... + 1)th iteration with x¼ (n + N), w1 w2 ¡¡¡ Updated during the 2nd iteration with x¼ (n), during the (N + 2)th iteration with x¼ (n + N), Updated during the 1st iteration with x¼ (n N), ... iteration with x¼ (n), wN wN+1 wN+2 ¡¡¡ Updated during the 1st iteration with x¼ (n L + N), during the (N + 1)th iteration with x¼ (n L + 2N), w2N Updated during the 2nd iteration with x¼...
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Báo cáo hóa học: " Infinitely many periodic solutions for some second-order differential systems with p(t)Laplacian" potx
... ⇔ I( ) = λ Defnition 2.2 [17] C∞ = C∞ (R, RN ) := {u ∈ C∞ (R, RN ) : T T with the norm u ∞ p+ ≤ I(u) ≤ u p−; u is T - periodic} := max |u(t)| t∈[0,T] For a constant p Î (1, ∞), using another ... be a reflexive infinite Banach space, j Î C1(X, ℝ) is an even functional with the (C) condition and j(0) = If X = Y ⊕ V with dimY < ∞, and j satisfies (i) there are constants s, a > such that ... u Î Zk with ||u|| ≤ rk, we have γ ϕ(u) ≥ −cγk u γ Therefore, γ γ −cγk ρk ≤ inf u∈Zk , u ≤ρk ϕ(u) ≤ 0, so we have inf u∈Zk , u ≤ρk ϕ(u) → for rk, gk ® 0, as k ® ∞ For any u Î Yk \ {0} with ||u||...
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báo cáo hóa học: " Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity" pdf
... Hamiltonian with periodic boundary conditions Comm Pure Appl Anal 9, 1053–1067 (2010) 14 Wang, Z, Zhang, J: Periodic solutions of non-autonomous second order Hamiltonian systems with p-Laplacian ... Tang, CL: Periodic solutions for nonautonomous second order systems with sublinear nonlinearity Proc Amer Math Soc 126, 3263–3270 (1998) doi:10.1090/S0002-9939-98-04706-6 Tang, CL, Wu, XP: Periodic ... not only deal with the case in which ∇F(t, x) grows slightly faster than |x|2a at infinity, such as the example (1.8), but also we can treat the cases like (1.4), (1.5) (ii) Compared with [12],...
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Báo cáo hóa học: " Existence of positive solutions to periodic boundary value problems with sign-changing Green’s function" ppt
... L, Wang, H: A periodic boundary value problem with vanishing Green’s function Appl Math Lett 21, 176–180 (2008) doi:10.1016/j.aml.2007.02.019 Webb, TRL: Boundary value problems with vanishing ... for a periodic boundary value problem J Differ Equ 245, 1185–1197 (2008) doi:10.1016/j.jde.2008.06.012 Jiang, D, Chu, J, O’Regan, D, Agarwal, RP: Multiple positive solutions to supperlinear periodic ... boundary value problem with repulsive singular equations J Math Anal Appl 286, 563–576 (2003) doi:10.1016/S0022-247X(03)00493-1 Jiang, D, Chu, J, Zhang, M: Multiplicity of positive periodic solutions...
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báo cáo hóa học:" Research Article Quasigauge Spaces with Generalized Quasipseudodistances and Periodic Points of Dissipative Set-Valued Dynamic Systems" docx
... points, periodic points, and endpoints of T , respectively, that is, Fix T {w ∈ X : w ∈ {w ∈ X : {w} T w } T w }, Per T {w ∈ X : w ∈ T q w for some q ∈ N}, and End T Let X be a metric space with ... and define three new kinds of dissipative set-valued dynamic systems with these families of generalized quasipseudodistances and with some families of not necessarily lower semicontinuous entropies ... Dynamic Processes and Generalized Sequences of Iterations and Periodic Points of Dissipative Set-Valued Dynamic Systems in Quasigauge Spaces with Generalized Quasipseudodistances We first recall the...
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báo cáo hóa học:" Research Article Periodic Problem with a Potential Landesman Lazer Condition" pdf
... 2 Boundary Value Problems In 3, authors studied 1.1 with a constant friction term r x c and results with repulsive singularities were obtained in 5, In this paper we present ... Mariani, “A second order ODE with a nonlinear final condition,” Electronic Journal of Differential Equations, vol 2001, no 75, p 19, 2001 H Chen and Y Li, “Rate of decay of stable periodic solutions of ... Methods & Applications, vol 32, no 1, pp 117–125, 1998 X Li and Z Zhang, Periodic solutions for damped differential equations with a weak repulsive singularity,” Nonlinear Analysis: Theory, Methods...
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báo cáo hóa học:" Research Article Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with p-Laplacian-Like Operators" doc
... periodic solutions to a p-Laplacian differential equation with a deviating argument,” Journal of Mathematical Analysis and Applications, vol 336, no 2, pp 1107–1123, 2007 S Lu, “Existence of periodic ... equation with a deviating e argument,” Nonlinear Analysis: Theory, Methods & Applications, vol 68, no 6, pp 1453–1461, 2008 B Liu, Periodic solutions for Li´ nard type p-Laplacian equation with ... ∩ R, / 1.8 Advances in Difference Equations Then the periodic boundary value problem f t, x, x , ϕ x t x x T , x x T 1.9 has at least one T -periodic solution on Ω Main Results In this section,...
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báo cáo hóa học:" Research Article Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation" ppt
... consider the existence of periodic solutions of first-order linear Hamiltonian system with a nonlinear perturbation u ˙ JA t u J∇G u, t , 1.5 where A t is a symmetric 2π -periodic 2N × 2N continuous ... 2π -periodic solution Theorem 1.2 Assume that the linear problem 1.14 has only the trivial 2π -periodic solution u and the condition G2 holds Then the Hamiltonian system 1.5 has at least one 2π -periodic ... S1 , R2N We recall that E is a Sobolev space of 2π -periodic R2N -valued functions ∞ u t a0 ak cos kt bk sin kt, a0 , ak , bk ∈ R2N 1.8 k with inner product u, u : 2πa0 · a ∞ π k ak ak k bk bk...
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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
... equations with piecewise constant arguments,” Acta Mathematica Sinica, vol 18, no 2, pp 263–276, 2002 H.-X Li, “Almost periodic solutions of second-order neutral delay-differential equations with piecewise ... L Cartwright, “Almost periodic differential equations and almost periodic flows,” Journal of Differential Equations, vol 5, no 1, pp 167–181, 1969 18 R Yuan, “Pseudo-almost periodic solutions of ... almost periodic sequence abbreviated as APS R if the -translation set of g τ ∈Z: g n T g, is relatively dense for each > τ −g n < , ∀n ∈ Z 1.10 Advances in Difference Equations For an almost periodic...
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Báo cáo hóa học: " Research Article Doubly Periodic Traveling Waves in a Cellular Neural Network with Linear Reaction" pdf
... solutions of 2.2 with velocity −δ/τ which are also spatial Υ -periodic and temporal Δ -periodic For convenience, we call such solutions Δ, Υ -periodic traveling wave solutions of 2.2 with velocity ... following translation invariance and α, κ, r ∈ R with κ / Then v Lemma 2.2 Let τ, Δ, Υ ∈ Z , δ ∈ Z with τ, δ Δ, Υ -periodic traveling wave solution with velocity −δ/τ for the following equation: ... Suppose that v {vi } is a Δ, Υ periodic traveling wave solution of 2.2 with velocity −δ/τ Then it is easy to check that t t {v−i } is also temporal Δ -periodic and spatial Υ -periodic From this fact and...
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Báo cáo hoa học: " Research Article Almost Periodic Solutions of Prey-Predator Discrete Models with Delay" pot
... Existence of Periodic Solutions and Almost Periodic Solutions, vol 14 of Applied Mathematical Sciences, Springer, New York, NY, USA, 1975 Y Song and H Tian, Periodic and almost periodic solutions ... property of almost periodic functions, which is equivalent to the above difinition, we discuss the concept of the normality of almost periodic functions Namely, let f n, x be almost periodic in n uniformly ... positive periodic sequences ω ∈ Z for all i, j 1, 2, , l Then System (H) has a unique ω -periodic solution in K Examples For simplicity, we consider the following prey-predator system with finite...
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Báo cáo hóa học: " Simple Systematic Synthesis of Periodic Mesoporous Organosilica Nanoparticles with Adjustable Aspect Ratios" pot
... pattern (Fig 4b) along with the HRTEM image confirms the periodicity of the mesopores in the NR sample The NRs have a type-IV N2 adsorption–desorption isotherm (Fig 5b) with a BET surface area ... diameter is larger than lm in all cases Recently, we described the first example of a periodic mesoporous organosilica with very uniform riceshaped nanoparticles having aspect ratios of ca 3:1 The PMO ... diameter could be estimated to be *4 nm The periodicity of the NFs was confirmed by SAXS as shown in Fig 4a An intense reflex was observed at 0.75° 2h with an interplanar spacing d of 11.7 nm The...
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Báo cáo hóa học: "Research Article Exact Values of Bernstein n-Widths for Some Classes of Periodic Functions with Formal " docx
... this paper, we will determine the exact values of Bernstein n-width of some classes of periodic functions with formal self-adjoint linear differential operators Wp Lr , which include the classical ... 2n, and the extended 2π-periodically onto R i |ci |, k An analog of the Buslaev iteration process is constructed in the following way: the function x t, c is found as a periodic solution of the ... widths of Sobolev classes of periodic functions,” Matematicheskie Zametki, vol 58, no 1, pp 139–143, 1995 Russian S I Novikov, “Exact values of widths for some classes of periodic functions,” East...
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Báo cáo hóa học: " Research Article Periodic Orbits with Least Period Three on the Circle" pptx
... fixed point and a periodic point with least period n n > Then one of the following holds: i f has a periodic point with least period m for every m > n, ii f has a periodic point with least period ... existence individually Circle maps with periodic points of least period In this section, we will consider the maps on the circle which have periodic points with least period Let us fix some notations ... Applications on the circle having periodic orbits with least period 3, we will show that except for the maps in one relative homotopy-conjugacy class, all maps have periodic points with least period n for...
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Báo cáo hóa học: "Research Article Almost Periodic Solutions of Nonlinear Discrete Volterra Equations with Unbounded Delay" ppt
... almost periodic solution of 1.2 , and 1.2 has an almost periodic solution Also, Song proved that if the bounded solution of 1.2 is uniformly asymptotically stable, then 1.2 has an almost periodic ... almost periodic in n uniformly for x ∈ Rn , and almost periodic in n uniformly for j, x, y ∈ Z∗ , respectively We define the hull H f, B g, D : 2.9 and 2.10 hold for some sequence nk ⊂ Z with nk ... for all σ ≤ t Also, Islam 10 showed that asymptotic almost periodicity implies almost periodicity for the bounded solution of the almost periodic integral equation t x t f t −∞ F t, s, x s ds 3.2...
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Báo cáo hóa học: " Research Article Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments" pdf
... numbers with λ > and μ > μ R S Dahiya and A Zafer We may begin with the following comparison theorem Theorem 2.1 Let δ = 1, α ≥ 0, β < 0, and + α + β > Suppose that μ (a) equation (Ek ) with μ ... solution of degree n; λ (b) equation (Eh ) with λ = −β and h = −τ has no eventually positive solution of degree whenever n is odd; μ (c) equation (Ek ) with μ = + α and k = τ has no eventually ... and + α + β > Suppose that μ (a) equation (Ek ) with μ = + β and k = −τ has no eventually positive solution of degree n; λ (b) equation (Eh ) with λ = −α and h = τ has no eventually positive...
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