dynamic response of linear second order systems
Báo cáo hóa học: " Research Article Liouville Theorems for a Class of Linear Second-Order Operators with Nonnegative Characteristic Form" potx
... one of the numerous extensions of the classical Gauss mean value theorem for harmonic functions For a proof of it, we directly refer to [6, Theorem 1.5] We would like to stress that in this proof ... independent of z0 and u, such that sup u ≤ Cu z0 (3.15) Pz0 (M) Proof It follows from Theorem 2.1 and the left translation invariance of ᏸ The details are contained in [3, Proof of Theorem 3] ... details are contained in [3, Proof of Theorem 3] From this theorem we obtain the proof of Theorem 3.1 Proof of Theorem 3.1 We may assume inf S u = Let η(s) = (γ(s),s0 − s), s0 ≤ 0, s ≥ s0 be an...
- 16
- 238
- 0
Báo cáo hóa học: " Research Article Liouville Theorems for a Class of Linear Second-Order Operators with Nonnegative " docx
... one of the numerous extensions of the classical Gauss mean value theorem for harmonic functions For a proof of it, we directly refer to [6, Theorem 1.5] We would like to stress that in this proof ... independent of z0 and u, such that sup u ≤ Cu z0 (3.15) Pz0 (M) Proof It follows from Theorem 2.1 and the left translation invariance of ᏸ The details are contained in [3, Proof of Theorem 3] ... details are contained in [3, Proof of Theorem 3] From this theorem we obtain the proof of Theorem 3.1 Proof of Theorem 3.1 We may assume inf S u = Let η(s) = (γ(s),s0 − s), s0 ≤ 0, s ≥ s0 be an...
- 16
- 246
- 0
Báo cáo sinh học: "Homoclinic solutions of some second-order non-periodic discrete systems" ppt
... is just the repetition of the proof of Lemma 3.2, we omit the details of its proof With the aid of above preparations, now we will give the proof of Theorem 1.2 Proof of Theorem 1.2 By(1.8), ... is similar to the proof of Lemma 3.1, so we omit the details of its proof Lemma 3.4 Under the conditions of Theorem 1.2, F (x) satisfies the PS condition Proof From the proof of Lemma 3.2, we see ... solutions, play an important role in the study of various models of continuous dynamical systems and frequently have tremendous effects on the dynamics of nonlinear systems So, homoclinic solutions have...
- 23
- 265
- 0
báo cáo hóa học:" Homoclinic solutions of some second-order non-periodic discrete systems" doc
... is just the repetition of the proof of Lemma 3.2, we omit the details of its proof With the aid of above preparations, now we will give the proof of Theorem 1.2 Proof of Theorem 1.2 By(1.8), ... is similar to the proof of Lemma 3.1, so we omit the details of its proof Lemma 3.4 Under the conditions of Theorem 1.2, F (x) satisfies the PS condition Proof From the proof of Lemma 3.2, we see ... solutions, play an important role in the study of various models of continuous dynamical systems and frequently have tremendous effects on the dynamics of nonlinear systems So, homoclinic solutions have...
- 23
- 248
- 0
Báo cáo toán học: " Homoclinic solutions of some second-order nonperiodic discrete systems" pptx
... is just the repetition of the proof of Lemma 3.2, we omit the details of its proof With the aid of above preparations, now we will give the proof of Theorem 1.2 Proof of Theorem 1.2 By(1.8), ... is similar to the proof of Lemma 3.1, so we omit the details of its proof Lemma 3.4 Under the conditions of Theorem 1.2, F(x) satisfies the PS condition Proof From the proof of Lemma 3.2, we see ... Motions in Dynamical Systems Princeton University Press, Princeton (1973) 10 Hofer, H, Wysocki, K: First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems Math...
- 12
- 323
- 0
báo cáo hóa học:" Research Article Oscillation of Solutions of a Linear Second-Order Discrete-Delayed Equation" docx
... of solutions of first order delay difference equations,” Cubo, vol 7, no 2, pp 223–236, 2005 14 R Medina and M Pituk, “Nonoscillatory solutions of a second- order difference equation of Poincar´ e ... prove that if 1.3 holds and κ > 1, then all solutions of 1.1 are oscillatory The proof of our main result will use a consequence of one of Domshlak’s results 8, Corollary 4.2, page 69 Lemma ... of 1.1 has at least one change of sign on Zr11 −1 Continuing this process, we get a sequence of intervals pn , rn q with limn → ∞ pn ∞ such that any solution of 1.1 has at least one change of...
- 12
- 190
- 0
báo cáo hóa học: " Study of the asymptotic eigenvalue distribution and trace formula of a second order operatordifferential equation" ppt
... equicontinuity of ER, and it completes the proof of the discreteness of the spectrum of L0 The derivation of the asymptotic formula for eigenvalue distribution of L0 Suppose that the eigenvalues of A are ... http://www.boundaryvalueproblems.com/content/2011/1/7 Page of 22 Definition of L0 and proof of discreteness of the spectrum Let D (L0 ) = {Y : Y = {y(t), y(1)}, y(t) ∈ C∞ H, [0, 1] , y(t) ∈ D (A)}, where C∞ (H, [0, 1]) is a 0 set of vector ... number of positive roots of the function in (2.6), and W be the number of sign changes in its coefficients Because the radius of convergence of this series is ∞, then by Descartes’ rule of signs...
- 22
- 334
- 0
báo cáo hóa học:" Research Article Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems" ppt
... solutions of second order non-autonomous singular dynamical systems, ” Journal of Differential Equations, vol 239, no 1, pp 196–212, 2007 D Franco and P J Torres, “Periodic solutions of singular systems ... existence of positive solutions of 3.17 will not be guaranteed in this case Proof of Theorem 3.2 We only prove i ii can be proved by a similar method To study the existence of positive solutions of ... we study the existence of one-sign solutions of the nonlinear problem x f t, x , t ∈ 0, T , 1.18 x x T , x x T The proofs of the main results are based on the properties of G and the Dancer’s...
- 18
- 283
- 0
Báo cáo sinh học: " Research Article Solutions of Linear Impulsive Differential Systems Bounded on the Entire Real Axis" ppt
... Rn Regularization of Linear Problem The condition of solvability 11 of impulsive problem for solutions bounded on R enables us to analyze the problem of regularization of linear problem that ... formed by a complete system of r linearly independent solutions of homogeneous f problem and G γi t is the generalized Green operator of the problem of finding solutions of the impulsive problem ... generalized Green operator 16 of the problem of finding bounded solutions where G γi of the impulsive system Proof Since P D PP − I −Q P Q P and DPD 0, we have P PD P DPD By virtue of Theorem 1, we have...
- 10
- 295
- 0
báo cáo hóa học:" Research Article Limit Properties of Solutions of Singular Second-Order Differential Equations" doc
... solvability of nonlinear singular equations subject to different types of boundary conditions In this section, we utilize Theorem 4.1 to show the existence of solutions for periodic problems The rest of ... values of the first derivative at the end points of u the interval of integration, t and t According to the theory, it holds that u 0 Therefore, we approximate the values of the first derivative of ... MSM6198959214 and by the Grant no A100190703 of the Grant Agency of the Academy of Sciences of the Czech Republic References J W Lee and D O’Regan, “Existence of solutions to some initial value, two-point,...
- 28
- 294
- 0
Báo cáo hóa học: " Research Article Unbounded Perturbations of Nonlinear Second-Order Difference Equations at Resonance Ruyun Ma" ppt
... study of nonlinear perturbations of the linear problem (1.1) The required results are somewhat scattered in [1, Chapters 6-7] Lemma 1.2 [1] Let (μi ,ψi ), i ∈ {1, ,N }, denote eigenvalue pairs of ... generalized zero of ψ2 in [a + 1,b + 1] Then (1.6) has a solution provided b+1 h(t)ψ1 (t) = (1.11) t =a+1 The analogue of Theorem 1.4 was obtained for two-point BVPs of second- order ordinary differential ... value problems,” Nonlinear Analysis: Theory, Methods & Applications, vol 39, no 2, pp 207–215, 2000 [7] D Bai and Y Xu, “Nontrivial solutions of boundary value problems of second- order difference...
- 12
- 173
- 0
Báo cáo hóa học: "MAXIMUM PRINCIPLES FOR A CLASS OF NONLINEAR SECOND-ORDER ELLIPTIC BOUNDARY VALUE PROBLEMS IN DIVERGENCE FORM CRISTIAN ENACHE " pptx
... Cristian Enache 13 [4] [5] [6] [7] [8] [9] [10] , A remark on linear elliptic differential equations of second order, Proceedings of the American Mathematical Society (1952), 791–793 ´ O A Ladyˇ ... Nonlinear Analysis (1979), no 2, 193–211 , On maximum principles for a class of nonlinear second- order elliptic equations, Journal of Differential Equations 37 (1980), no 1, 39–48 M H Protter and H F Weinberger, ... (3.18) and (3.19), un and unn are the first and second outward normal derivatives of u on ∂Ω, and K is the average curvature of ∂Ω The insertion of (3.19) in (3.18) leads to g ∂Ψ = −2 (N − 1)Ku2...
- 13
- 332
- 0
PERIODIC SOLUTIONS OF NONLINEAR SECOND-ORDER DIFFERENCE EQUATIONS ´ JESUS RODRIGUEZ AND DEBRA LYNN pdf
... 174 Periodic solutions of nonlinear second- order difference equations As a consequence of this result we prove that there is a countable subset S of [−2,2] such that if b∈S, then / ... useful to know that the columns of Ψ(·) span the solution space of the homogeneous “adjoint” problem Lx = 0, (2.14) 176 Periodic solutions of nonlinear second- order difference equations where ... second component function of G maps each boundary point of Ω into Ω itself and then, by breaking up the boundary of Ω into separate pieces, consider the effect of the first component function of...
- 20
- 229
- 0
Project Gutenberg’s Researches on curves of the second order, by George Whitehead Hearn ppt
... Equation to a surface of second order expressed by means of the equations to the cyclic and metacyclic planes 34 General theorems of surfaces of second order in which one of M Chasles’ conical ... locus of the centres of a system of spherical conics of the second order passing through four given points will be a spherical conic in general of the third order Now u, v being homogeneous and of ... diameters of the several individuals of that system conjugate to a given fixed plane, will trace out another cone of the second order If a system of cones pass through two of the edges of a pentahedral...
- 64
- 275
- 0
Nonlinear oscillations of the third order systems. Part III Parametric oscillation
... third order non -linear system, J S o u n d V ib r , , 4, 1974 L H V S r i r a n g a r a j a n , p S r in iv a s a n , Ultraspherical polynomials approach to the study o f third -order nonlinear systems ... illa tio n s , H a n o i 1969 1958; N g 'Y E n v a n D a o , Non -linear oscillations o f the third order systems Part / Autonomous systems, J re ch n P h y s , 0, 4, 1979 N g ' Y E n v a n D a o ... + Ệ2 + w 3ao(fc- í f i V , ) ( f } + +« (£ ) ( £ ) + ’ +4 í0ă ía ă i a \ Nonlinear oscillations o f the third order systems , Pari III rh e e x p r e ssio n z c a n b e a l s o w r i t t e n in...
- 13
- 306
- 0
Dynamic scheduling of real time control systems
... workload of the computer Therefore, in design and implementation of digital control systems, there exists a trade-off between performance of a system and computational resources required in order ... support on-line admission of new tasks, or dynamic modification of task parameters In dynamic scheduling, the scheduling algorithm does not have the complete knowledge of the task set or its time ... jitter primarily in the field of data communication Recently, the use of this concept was extended to almost all types of services in computer systems, and the scope of the QoS concept has expanded...
- 92
- 285
- 0
Finitetime stabilization and guaranteed cost control of linear autonomous delay systems with bounded controls
... finite-time control of linear time-delay systems with bounded controls is of interest in its own right Motivated by the above discussions, we study the problem of finite-time control for linear autonomous ... control for a class of nonlinear time-delay Hamiltonian systems Automatica, 49, 390-401 [7] Hien L.V (2014), An explicit criterion for finite-time stability of linear nonautonomous systems with delays ... stabilization of time-varying delay systems with nonlinear perturbations, IMA J Contr Inform 31, 441-464 11 [12] Sussman H.J., Sontag E.D & Yang Y (1994), A General result on the stabilization of linear systems...
- 12
- 186
- 0
Finitetime stability and H control of linear discretetime delay systems with normbounded disturbances
... control of linear discretetime systems with an interval-like time-varying delay, International Journal of Systems Science, 39(2008), 427-436 [7] Meng Q., Shen Y., Finite-time H∞ control for linear ... stability in linear time-varying systems, In: IRE International Convention Record, Part IV, 1961, 83-87 11 [2] Amato F., Ariola M., Cosentino C., Finite-time control of discrete-time linear systems: ... functionals and some aggregate norm approximations of the delayed states for finitetime stability analysis of linear discrete time-delay systems, Journal of the Franklin Institute, 351(2014), 3914-3931...
- 12
- 181
- 0
PHÂN TÍCH đáp ỨNG ĐỘNG học của ỐNG đặt TRÊN nền đàn hồi CHỊU tải TRỌNG SÓNG XUNG KÍCH ANALYSIC DYNAMIC RESPONSE OF TUBE PUTTING ON THE ELASTIC FOUNDATION UNDER SHOCKWAVE LOAD
... of granular backfill materials of largediameter,high-density polyethylene pipe, A thesis in Civil engineering Sbmitted to be Graduate Faculty of Texas Tech University in Partial Fulfillment of ... the Requirements for the Degree of Master of Science in Civil Engineer, 2000 [8] Bathe K.J and Wilson E.L, Numerical Method in Finite Method Analysis Prentice, Hall of India Private Limited,New ... conditioning for pipe-jaking and tunnelling, A dissertation submitted for the degree of Doctor of Philosophy at the University of Cambridge,2006 [12] Frans Alferink Wavin M&T, The Netherlands, Soil-pipe...
- 9
- 404
- 1
Báo cáo hóa học: " Solvability of boundary value problems with Riemann-Stieltjes Δ-integral conditions for second-order dynamic equations on time scales at resonance" pptx
... problem for second- order nonlinear singular differential equations Georgian Math J 7(1), 133–154 (2000) Feng, W, Webb, JRL: Solvability of m-point boundary value problems with nonlinear growth ... (I) the set of all partitions of I Let Pm, Pn ∈ P (I) If Pm ⊂ Pn, we call Pn a refinement of Pm If Pm, Pn are independently chosen, then the partition Pm Pn is a common refinement of Pm and Pn ... pseudo-symmetric solutions of three-point BVPs for p-Laplacian dynamic equations on time scales Nonlinear Anal 68, 1442–1452 (2008) Anderson, DR, Avery, RI: An even -order three-point boundary...
- 18
- 587
- 0
Tìm thêm: hệ việt nam nhật bản và sức hấp dẫn của tiếng nhật tại việt nam xác định các nguyên tắc biên soạn khảo sát chương trình đào tạo gắn với các giáo trình cụ thể tiến hành xây dựng chương trình đào tạo dành cho đối tượng không chuyên ngữ tại việt nam điều tra đối với đối tượng giảng viên và đối tượng quản lí điều tra với đối tượng sinh viên học tiếng nhật không chuyên ngữ1 khảo sát thực tế giảng dạy tiếng nhật không chuyên ngữ tại việt nam xác định mức độ đáp ứng về văn hoá và chuyên môn trong ct phát huy những thành tựu công nghệ mới nhất được áp dụng vào công tác dạy và học ngoại ngữ mở máy động cơ lồng sóc đặc tuyến hiệu suất h fi p2 đặc tuyến mômen quay m fi p2 đặc tuyến tốc độ rôto n fi p2 đặc tuyến dòng điện stato i1 fi p2 động cơ điện không đồng bộ một pha sự cần thiết phải đầu tư xây dựng nhà máy thông tin liên lạc và các dịch vụ phần 3 giới thiệu nguyên liệu từ bảng 3 1 ta thấy ngoài hai thành phần chủ yếu và chiếm tỷ lệ cao nhất là tinh bột và cacbonhydrat trong hạt gạo tẻ còn chứa đường cellulose hemicellulose chỉ tiêu chất lượng theo chất lượng phẩm chất sản phẩm khô từ gạo của bộ y tế năm 2008