the dirichlet problem for quasilinear nonuniformly elliptic equations
báo cáo hóa học:" Research Article A Mixed Problem for Quasilinear Impulsive Hyperbolic Equations with Non Stationary Boundary and Transmission Conditions" ppt
Ngày tải lên :
21/06/2014, 11:20
... t is the solution of problem 1.1 - 1.2 , then w t is the solution of the problem 1.16 On the contrary, if w t ∈ C2 0, T ; H ∩ C1 0, T ; H1 , H 1/2 ∩ C 0, T ; H1 1.18 is the solution of problem ... 2.10 Advances in Difference Equations 11 Thus, the nonlinear operator F satisfies the condition of local solvability of the Cauchy problem for the quasilinear hyperbolic equations in Hilbert space ... , R , then T u1 i i H1/2 Hi t ∈ 0, T , , 2.6 T Otherwise, there exists T0 ∈ 0, T , such that ∞ lim E t t → T0 −0 2.7 In the Hilbert space H, the problem 2.1 is represented as the Cauchy problem...
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Báo cáo hóa học: " Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument" ppt
Ngày tải lên :
21/06/2014, 03:20
... of these equations are yet to be explored For some recent work on equations of fractional order with deviated arguments, see [46-48] and the references therein In this article, we consider the ... mentioning that the conditions of our theorems are easily to verify, so they are applicable to a variety of problems, see Examples 4.1 and 4.2 The proof of our main results is based upon the following ... completed the main part of this paper, SKN and LZ corrected the main theorems and gave two examples All authors read and approved the final manuscript Competing interests The authors declare that they...
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ONE PARAMETER FAMILY OF LINEAR DIFFERENCE EQUATIONS AND THE STABILITY PROBLEM FOR THE NUMERICAL pdf
Ngày tải lên :
23/06/2014, 00:20
... from the factors (eiθ + 1) and (eiθ − 1) The stability problem for the top order family The results obtained in the previous section permit to attack the question concerning the stability problem ... unit modulus Then, the assertions of the theorem follow from Remark 4.1 We are now in the position to give the main results related to the stability problem Theorem 4.3 Let k = 2ν − The k-step ... positive, it is sufficient to evaluate the sign of the first ν of them, where ⎧ ⎪k ⎪ ⎪ ⎨ ⎪k +1 ⎪ ⎩ ν=⎪ for even k, (2.18) for odd k 6 Difference equations and the stability problem By posing ρk−1 (z) =...
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Tài liệu Đề tài " On the classification problem for nuclear C -algebras " pdf
Ngày tải lên :
16/02/2014, 06:20
... topological K1 and the fact that α induces the identity map on the Elliott invariant force α to induce the identity map at the level of the Hausdorffized algebraic K1 -group The KKclass of α is the same ... that ON THE CLASSIFICATION PROBLEM FOR NUCLEAR C ∗ -ALGEBRAS 1043 the moment one relaxes the slow dimension growth condition for AH algebras (and therefore, a fortiori for ASH algebras), one obtains ... conjectured shortly thereafter that the topological K-groups, the Choquet simplex of tracial states, and the natural connections between these objects would form a complete invariant for the class of...
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Đề tài " The derivation problem for group algebras " pot
Ngày tải lên :
06/03/2014, 08:21
... (see [D, p 761] for further references) The derivation problem for the group algebra is linked to the name of B E Johnson, who pursued it over the years as a pertinent example in his theory of cohomology ... x−1 (see the proof of THE DERIVATION PROBLEM FOR GROUP ALGEBRAS 225 Corollary 1.2), they write N for the closure of the elements of G belonging to relatively compact conjugacy classes Then Cond ... that of Day’s fixed point theorem (compare [Gr, p 50]) It is enough to show the result for linear transformations A(x) THE DERIVATION PROBLEM FOR GROUP ALGEBRAS 229 ˜ ˜ (otherwise, we pass to X...
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Đề tài " The subconvexity problem for Rankin-Selberg L-functions and equidistribution of Heegner points " ppt
Ngày tải lên :
22/03/2014, 16:20
... deduce the same bound for s in a 1/ log q neighborhood of the critical line and by Cauchy’s formula we deduce the bound for es = 1/2 for all the derivatives THE SUBCONVEXITY PROBLEM FOR RANKIN-SELBERG ... level The result is not new; our main point there is to make explicit the (polynomial) dependence of the bound in the other parameters of g (the level or the eigenvalue), a question for which there ... shared with me their experience, ideas and even the manuscripts (from the roughest to the most polished versions) of their respective ongoing projects; I thank them heartily for this, for their encouragement...
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Báo cáo hóa học: " Research Article Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations Fei Xiao" potx
Ngày tải lên :
21/06/2014, 05:20
... Moreover, we can get ≤ g u u , λ 4.6 ≤ α D λ α g D for any D ⊂ X Then the above equation 4.1 can be written in the abstract form as 1.1 On the other hand, f t, Ku t , Hu t ξ ≤ tn n ≤ tn ∗ K1 u ... Step We show that there exists m ∈ N such that F Bm ⊂ Bm Suppose the contrary, that for every m ∈ N, there exists um ∈ Bm and tm ∈ I, such that Fum tm > m However, on the other hand ⎛ ≤ μ t ... purpose, the following conclusions will be needed For the proofs refer to Lemma 2.9 see The operator-valued functions ψ t − η, η and A t ψ t − η, η are continuous in uniform topology in the variables...
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báo cáo hóa học:" Research Article On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type" docx
Ngày tải lên :
21/06/2014, 11:20
... beginning from the seminal paper of Lions In particular, among the most recent papers, we cite 3–7 and refer the reader to the references therein for a more complete overview on this topic The case ... 2.26 for every r > Theorem 2.3 says that every μr is a positive number Before stating our existence result for problem Pλ , we have to recall the following well-known Lemma which comes from 9, Theorems ... where the constant C0 depends only on N, |Ω| def C0 < ∞, 2.28 Boundary Value Problems Theorem 2.5 below guarantees, for every r > 0, the existence of at least one positive solution ur for problem...
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báo cáo hóa học:" Research Article The Obstacle Problem for the A-Harmonic Equation" pot
Ngày tải lên :
21/06/2014, 18:20
... of the A-harmonic equation and the obstacle problems for differential forms which satisfy the A-harmonic equation, and the proof for the uniqueness of the solution to the obstacle problem of the ... research on the obstacle problem for differential forms satisfying the A-harmonic equation and we hope that our work will stimulate further research in this direction By the some definitions as the solution, ... Thus Ω Therefore u is a solution to 2.1 Next we will introduce the obstacle problem to A-harmonic equation, whose definition is according to the same definition as the obstacle problem of quasilinear...
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Báo cáo hoa học: " Research Article Summation Characterization of the Recessive Solution for Half-Linear Difference Equations" doc
Ngày tải lên :
21/06/2014, 20:20
... > for large k are negative see 19 , that is, > wk > wk Then using the same argument as in the first part of the proof we have < vk < vk for large k for any solution v of 5.15 , that is, u is the ... obtain from 4.12 ∗ that vk ≥ uk for k ≥ N Hence Rk vk > for k ≥ N and hence also vk vk > for k ≥ N Applications and Open Problems i Theorems 4.1 and 4.2, as formulated in the previous section, apply ... 22−p for p ∈ 1, Denote t q − 1/ p − , then we need to prove the inequality g t : t − · 2−1/t ≥ for t ∈ 1, ∞ A standard investigation of the graph of the function t → · 2−1/t shows that the required...
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Báo cáo hóa học: " Research Article RRES: A Novel Approach to the Partitioning Problem for a Typical Subset of System Graphs" potx
Ngày tải lên :
22/06/2014, 06:20
... on the x-axis, the performance of the RRES algorithm is plotted The dotted lines show the ES performance For a window length of 20, the obtained values for RRES and ES naturally coincide The ... graphs in the field to have rather low values for rloc and a low to medium value for γ, while having low values for ρ The metric κ has been calculated for all the sample graphs, and the performance ... depicted The left side shows the system graph, Figure 4(a), the right side shows the platform model in a graph-like fashion, Figure 4(b) With the connecting arcs in the middle, the system graph and the...
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Báo cáo hóa học: "TERMINAL VALUE PROBLEM FOR SINGULAR ORDINARY DIFFERENTIAL EQUATIONS: THEORETICAL ANALYSIS AND NUMERICAL SIMULATIONS OF GROUND STATES" pdf
Ngày tải lên :
22/06/2014, 22:20
... solvable The last result for the maximality of ξM ∈ (0,1) follows by the monotonicity of {ξin } Remark 3.12 If the singular point P0 of the map ∗ is unique, then the uniqueness of the point ξM and the ... Proof By the continuation of solutions and the singularity of at the point P0 , the set (P0 ) = ∅ Taking into account the nature of the vector field and the definition of the singularity of the map ... paper as the nature of the vector field.” Therefore, a combination of properties of the associated vector field with the Kneser’s property of the cross sections of the solutions’ funnel is the main...
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Báo cáo hóa học: " CSMA/CCA: A Modified CSMA/CA Protocol Mitigating the Fairness Problem for IEEE 802.11 DCF" docx
Ngày tải lên :
22/06/2014, 22:20
... and copy the CW size without leakage across the BSSs by utilizing the BSSIDs The frame format for a data frame is shown in Figure The content of the address fields depends on the values of the ToDS ... subfields, among which the type and subtype fields together identify the function of the frame The type value of a data frame is defined as 10 and the subtype values 1000–1111 for the data frame are ... Chapter 11] The difference between the RTS/CTS access mechanism and the basic access mechanism is the addition of the RTS/CTS exchange for reservation purposes before DATA/ACK transmissions The CSMA/CA...
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EIGENVALUE PROBLEMS FOR DEGENERATE NONLINEAR ELLIPTIC EQUATIONS IN ANISOTROPIC MEDIA ˘ DUMITRU docx
Ngày tải lên :
23/06/2014, 00:20
... be the richest one The main interest of these equations is due to the presence of the singular potential a(x) in the divergence operator Problems of this kind arise as models for several physical ... Nonlinear elliptic equations in anisotropic media In the statement of our Theorem 2.6, the existence of a solution does not depend on λ1 (a), but on the behavior of the nonlinearity at infinity Hypotheses ... (2.25) The last relation shows that condition (c4) holds true Therefore all the assumptions (c1), (c2), (c3), (c4), and (c5) are satisfied for the function f (x,t) and Theorem 2.6 can be applied for...
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ON A BOUNDARY VALUE PROBLEM FOR NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS ROBERT HAKL Received 21 doc
Ngày tải lên :
23/06/2014, 00:20
... < − b for t ∈ [a,b], (3.8) g0 (s)ds for t ∈ [a,b], (3.9) p0 (s)ds t b t then the problem (2.1), (2.8) has at least one solution Theorem 3.2 is unimprovable in the sense that neither of the strict ... (3.6) hold, then problem (2.1), (2.8) has at least one solution Theorem 3.1 is unimprovable in the sense that neither of the strict inequalities in (3.4)–(3.6) can be replaced by the nonstrict ... 25, 28, 29, 30, 31, 32, 37, 40, 42] and the references therein) In spite of this, the general theory of boundary value problems for functional differential equations is not still complete Here,...
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Báo cáo nghiên cứu khoa học: "USING ADAPTIVE CONTROL TO SOLVE THE TRACKING PROBLEM FOR A MOBILE MANIPULATOR" pptx
Ngày tải lên :
22/07/2014, 02:20
... effectiveness of the proposed controller The paper also shows how to get the tracking errors by the potentiometer and the camera sensor The experiments are performed for getting the practical information ... assignment for the mobile platform and the manipulator is made as: the mobile platform should track the curved surface in which the welding trajectory lies on, and the manipulator has the duty ... the distance from the projection of the manipulator torch tip on the x-y plane to the center C of platform, φ w is the heading angle in the horizontal plane of the welding torch, and φ C is the...
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Báo cáo nghiên cứu khoa học: " ON THE EXISTENCE OF SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS WITH UNBOUNDED COEFFICIENTS" ppt
Ngày tải lên :
22/07/2014, 10:21
... Krasnosel´kii, Topological methods in the theory of nonlinear integral equations, Pergamon Press, Oxford, (1964) [6] I.V Skrypnik, Nonlinear Higher Order Elliptic Equations (in Russian), Noukova Dumka ... functions on Ω × ( C1) satisfying the following conditions: The function g i ( x, t ) is measurable in x for fixed t in and continuous in t for fixed x in Ω for any i = 0, , N ( C2 ) g ( x, ... have the conclusion that the sequence (3.10) {u m } m converges to u in X k Thus, Tk is of class ( S )+ in X k Next we calculate the topological degree of the operator Tk By condition (C4), the...
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Báo cáo toán học: "Mountain Pass Theorem and Nonuniformly Elliptic Equations" doc
Ngày tải lên :
06/08/2014, 05:20
... which relies on the Deformation theorem in [9, p 81,Theorem A.4 ] Using Theorem 2.2 of the present paper instead of the cited Theorem A.4, and arguing as in the proofs of the cited Theorems 8.1 ... Theorem The main tool for proving these theorems is Theorem 2.2, which is a generalized deformation theorem Hence, Theorem 2.2 is most important in this section The following lemma is necessary for ... 55, Theorem 9.12], but the functional I in Theorem 1.3 belongs to Cw (E) instead of C (E) as in [9] The proof of the Z2 version of the Mountain Pass Theorem in [9, p 55, Theorem 9.12] bases on Theorem...
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Báo cáo toán học: "A Remark on the Dirichlet Problem" pdf
Ngày tải lên :
06/08/2014, 05:20
... pluripolar sets The function U (μ, h) plays a crucial role in solving the Dirichlet problem a The Comparison Principle for Ep + Bloc In order to prove the main theorem, in this section we prove the following ... University, 2002 a E Bedford and B A Taylor, The Dirichlet problem for the complex MongeAmpere operator, Invent Math 37 (1976) 1–44 E Bedford and B A.Taylor, A new capacity for plurisubharmonic ... (ddc uk )n = t−n bkj (s) j A Remark on the Dirichlet Problem Letting t 339 s we get sn akj (s) ≥ bkj (s) for k, j ≥ and s > Given (1) > By the hypothesis there exists s0 > such that sn a(s0 )...
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