exact solutions of integral equations

... Differential Equations of Parabolic Type”, Englewood Cliffs, N J Prentice-Hall, 1964 69 T Furumochi, Almost periodic solutions of integral equations Proceedings of the Second World Congress of Nonlinear ... fully nonlinear equations The conditions are given in terms of the dissipativeness of the equations under consideration In Chapter we present the existence of almost periodic solutions of almost periodic ... concept of spectral dichotomy for difference equations II., Journal of Difference Equations and Applications 2(1996), N.3, 251-262 18 B Aulbach, N.V Minh, Almost periodic mild solutions of a class of...

Ngày tải lên: 29/10/2015, 12:32

... described. One of them is the original Photoshop algo- rithm [3], where the red channel of the left eye becomes the red channel of the anaglyph and vice versa for the blue and green channels of the right ... drawbacks of these algorithms are the presence of ghosting and the loss of color [5]. In the 2D to 3D conversion, depth c ues are needed to generate a no vel stereoscopic view for each fra me of an ... synchronized lens in the case of active vision and the polarized display in the case of po larized lens. Howev er, the anaglyp h techn ique only requires a pair of spectacles constructed with...

Ngày tải lên: 20/06/2014, 22:20

... existence of almost automorphic solutions of first-order linear difference equations. In Section 4, we discuss the existence of almost automorphic solutions of nonlinear difference equations of the ... existence of discrete almost automorphic solutions of linear and nonlinear difference equations in... The proof of the next result follows the same lines of the first part in the proof of ... automorphic solutions of difference equations, it remains to study discrete almost automorphic solutions of Volterra difference equations as well as discrete almost. .. λ of A For each...

Ngày tải lên: 21/06/2014, 20:20

... conditions depending on u, in the proof of the local regularity results, w e have to estimate the integral of some power of |u| by means of |Du|.Todothis,we will make use of the Sobolev inequality that ... 4. Local solutions of anisotropic equations In this section, we prove a local regularity result for weak solutions of anisotropic equations. Let u ∈ W 1,q i loc Ω be a local solution of the anisotropic ... supported by Special Fund of Mathematics Research of Natural Science Foundation of Hebei Province no 07M003 and Doctoral Foundation of the Department of Education of Hebei Province B2004103...

Ngày tải lên: 22/06/2014, 06:20

... assumptions of Corollary 3.4, one of the following two conditions is true: (a) A preserves the K-negligibility of elements of the set Π; (b) A is continuous in the topology of X Then all the solutions of ... obvious that the set of solutions of problem (4.27), (4.28) coincides with that of the continuous solutions of (1.1), where λ = and b(t) := c + t a q(s)ds, t ∈ [a,b] (4.31) 24 Journal of Inequalities ... guarantee the solvability of (1.1) Proof of Theorem 4.1 Without loss of generality, we may suppose that relation (4.18) is true, for otherwise, in view of Theorem 3.1, the assertion of the theorem becomes...

Ngày tải lên: 22/06/2014, 18:20

... conditions depending on u, in the proof of the local regularity results, w e have to estimate the integral of some power of |u| by means of |Du|.Todothis,we will make use of the Sobolev inequality that ... 4. Local solutions of anisotropic equations In this section, we prove a local regularity result for weak solutions of anisotropic equations. Let u ∈ W 1,q i loc Ω be a local solution of the anisotropic ... supported by Special Fund of Mathematics Research of Natural Science Foundation of Hebei Province no 07M003 and Doctoral Foundation of the Department of Education of Hebei Province B2004103...

Ngày tải lên: 22/06/2014, 18:20

... operator of taking of the normal component of a trace on the boundary of a function defined on Ω0 The operator γn 236 On weak solutions of the equations of motion ... R( ¯ L) of the operator ¯ L is dense in E ∗ . We give the proof of this theorem in Section 8. From Theorems 3.6 and 3.8 the next result follows. 222 On weak solutions of the equations of motion ... Zaharias, Nonlinear Operator Equations and Operator Differential ı Equations, ... proved 8 Proof of Theorem 3.8 The basic moment here is the proof of the solvability of a corresponding...

Ngày tải lên: 23/06/2014, 00:20

... applications to finding solutions of equations involving unknown functions and/or... There are a large of number of properties of uniformly convergent sequence of functions and uniformly ... Polynomial and Rational Functional Equations Linear Equations 4.4.1 Equation I 4.4.2 Equation II ... ws-book975x65 Analytic Solutions of Functional Equations 20 Ω Ω relative to any ... Limits of partial sum sequences will be discussed in details in the next section We remark also that our definition of a sum of infinite sequence is a special case of the Lebesgue integral...

Ngày tải lên: 04/08/2014, 22:25

... Journal of Mathematics 33:1 (2005) 63–72 Almost Periodic Solutions of Evolution Equations Associated with C-Semigroups: An Approach Via Implicit Difference Equations * Nguyen Minh Man Faculty of Mathematics, ... 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 (1) has not been treated ... existence of periodic solutions of systems of differential equa- tions, Duke Math. J. 17 (1950) 457–475. 16. Nguyen Van Minh and Nguyen Minh Man, On the asymptotic behavior of solu- tions of neutral...

Ngày tải lên: 06/08/2014, 05:20

... periodic solutions In this section, we will deal with almost periodicity of bounded solutions and the existence of periodic solutions to Eq (1.1) First, we make precise the notion of solutions ... periodicity of bounded solutions to Eq (1.1) Basec on [16], Theorem 3.9 shows the existence of periodic solutions to Eq (1.1) 2 Preliminaries In this section we recall the notion of a spectrum of a ... almost pe- riodicity of solutions of partial fictional! differential equations, J Differential Equations 180 (2002), 125-152 (51 Y Hino and S Murakami, Periodic sohitions of a linear Volterra...

Ngày tải lên: 11/03/2015, 07:57

... solution of equations (1.2) if and only if the matrix X = Q∗XV is a simultaneous solution of equations AiX − X Bi = Ci , with Ci = Q∗Ci V . Thus, in finding simultaneous solutions of Sylvester equations ... method to the case of functions of several commuting matrices and apply it to the problems of finding simultaneous solutions of Sylvester equations. In the sequel, we denote elements of F and T by ... k-tuple of m×m matrices, (B1 , ..., Bk ) is a k-tuple of n × n matrices and (C1, ..., Ck ) is a k-tuple of m × n matrices. Then a matrix X is a simultaneous solution of the system of equations...

Ngày tải lên: 16/10/2015, 09:33

... Fredholm Integral Equations of the First Kind 10.1-2 Integral Equations of the First Kind With Weak Singularity 10.1-3 Integral Equations of Convolution Type 10.1-4 Dual Integral Equations of the ... 6.1-1 Equations of the Form a K(t)y(x)y(t) dt = F (x) 6.1-2 Equations of the Form b a G(· · ·) dt = F (x) 6.1-3 Equations of the Form y(x) + 6.1-4 Equations of the Form y(x) + 6.1-5 Equations of ... Dual Integral Equations of the First Kind 10.6-1 The Carleman Method for Equations With Difference Kernels 10.6-2 Exact Solutions of Some Dual Equations of the First Kind 10.6-3 Reduction of Dual...

Ngày tải lên: 31/03/2014, 15:39

... point is to offer a simpler (D) together with the Chern-Levineproof using compactness of PSH(D) in the topology Lloc Nirenberg inequality instead of the more delicate comparison result of Alexander ... point of C except for a polar subset of A Even in this concrete case, we are unable to compute exactly (Γ f (D))∗C2 III Graphs of holomorphic functions over analytic polyhedron The main result of ... ∑ (1 − rmn ) ind(m,n)≥⌊ 2k ⌋ By Lemma 4.8, the k-th root of the last term tends to as k → ∞ This completes the proof of the lemma Proof of Proposition 4.7 Let B := {α j } j≥1 ⊂ ∆ be the sequence...

Ngày tải lên: 16/10/2015, 14:19

... f (∞) This extended notion of summability of an infinite integral generalizes the summation of classically divergent Fourier series by Ces`ro means (the a averages of the first N partial sums) ... is that the λ → ∞ behavior of the Rλ (µ) is completely determined by that of the Rω (µ), but the converse is false; the asymptotics of the Rω (µ) depend on integrals of the Rλ (µ) over all λ, ... asymptotics of K and T (i.e., applying the inverse of the appropriate integral transform (12) to the asymptotic expansion term-by-term) The existence of discrete spectra (which makes the exact µ...

Ngày tải lên: 24/04/2014, 17:09

... contribution of this paper The irrationalization technique of [6, 15] can be viewed as a method of translating an inexact identity (i.e., an identity modulo the contribution of lower-dimensional cones) of ... level of indicator functions In contrast, in Section 2.1 we provide a general constructive method of translating an inexact identity (5) of indicator functions of full-dimensional cones to an exact ... to methods of exact polyhedral subdivision of polyhedral cones (Section 2.2) and exact signed decomposition of partially open simplicial cones (Section 2.3) the electronic journal of combinatorics...

Ngày tải lên: 07/08/2014, 15:23

... expression level of RAP2.1 resulting from 12-h of drought or cold treatment was reduced by 3-h of rehydration (Figure 2A and 2B) The promoter sequence of the RAP2.1 gene, with a length of 1.5-kb (containing ... vivo role of RAP2.1 in modulating plant responses to drought and cold stresses, “loss of function” and “gain of function” phenotypes of the RAP2.1 protein were identified For loss of function ... regulation of expression of RAP2.1 Page of 15 Since RD/COR genes were found to be direct targets of RAP2.1, we used quantitative real-time PCR to determine transcriptional levels of these genes...

Ngày tải lên: 12/08/2014, 03:21

... the function of the length of support, Leukemia data set 89 3.20 Accuracy as the function of the length of support, Madelon data set 90 3.21 Accuracy as the function of the length of support, ... 70%, CSBF kernels 182 xii List of Symbols Symbol Definition b Length of the support of a basis function b(t) A basis function of L2 C Set of classes ck The kth class d(., ) A distance ... M The number of features N The number of training objects in a collection N (c) The number of training objects in category c N (x) The number of features in object x Ni The number of objects containing...

Ngày tải lên: 11/09/2015, 09:57

... FUNCTIONS OF BRAIN-ENRICHED LEUCINE-RICH REPEATS (LRR) CONTAINING PROTEINS AMIGO AND NGR2 CHEN YANAN B.Sc.(Hons), NUS A THESIS SUBMITTED FOR THE DEGREE OF MASTER OF SCIENCE DEPARTMENT OF BIOCHEMISTRY ... Expression of AMIGO in rodent brain 45 3.1.2 Expression of AMIGO in primary cultured neurons and glia cells .47 3.2 Polarized neuronal surface localization of AMIGO 55 3.3 The role of AMIGO ... These form an inhibitory axis of signaling that underlies inhibition of axonal growth regeneration after CNS injury (Filbin, 2003) NgR1 is a member of a family of homologous glycosylphosphatidyl...

Ngày tải lên: 08/11/2015, 17:08

... primary and alternate offerings() 1 CourseCatalogSystem * RegistrationController // add courses to schedule() // get course offerings () // get course offerings() 1 ... Học Phần Trường ĐH Register for Courses Student Select Courses to Teach Course Catalog Professor Maintain Professor Information Registrar Maintain Student Information Close Registration Billing ... close( ) read( ) sortFileList( ) create( ) fillDocument( ) fList Writing add file [ numberOffile==MAX ] / flag OFF get( ) FileList Use-Case read() fill the code Openning add( ) delete( ) close file...

Ngày tải lên: 12/09/2012, 15:04

... Pizza Problem Definition   Input:  Diameter of two sizes of pizza  Cost of the same two sizes of pizza Output:  Cost per square inch for each size of pizza  Which size is the best buy   Based ... definition for a function that takes one argument of type int and one argument of type double, and that returns a value of type double that is the average of the two arguments? Copyright © 2007 Pearson ... absolute value of argument x  Return value is of type int  Argument is of type x  Found in the library cstdlib fabs(x) - double value = fabs(-8.0);  Returns the absolute value of argument x...

Ngày tải lên: 12/09/2012, 22:48