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Author International Society for Analysis, Applications, and Computation. Congress (6th : 2007 : Orta Dŏgu Teknik ̈Universitesi (Ankara, Turkey), Ankara, Turkey)

Title Further progress in analysis : proceedings of the 6th International ISAAC Congress, Middle East Technical University, Ankara Turkey, 13-18 August 2007 / editors, H.G.W. Begehr, A.O. C̮elebi, R.P. Gilbert
Published Singapore ; Hackensack, N.J. : World Scientific Pub. Co., [2009]
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Description 1 online resource (xix, 856 pages) : illustrations
Contents Plenary talks. Some interrelated results in different branches of geometry and analysis / G.A. Barsegian. Recent results on Hardy and Rellich inequalities / W.D. Evans. Some results on nonselfadjoint operators : a survey / J. Sjöstrand. The distribution of primes : conjectures vs. hitherto provables / C.Y. Yildirim -- session 1. Analytic function spaces and their operators. A C*-algebra of functional operators with shifts having a nonempty set of periodic points / M.A. Bastos, C.A. Fernandes & Y.I. Karlovich. On Bloch and normal functions on complex Banach manifolds / P.V. Dovbush. Strong-type estimates and Carleson measures for weighted Besov-Lipschitz spaces / V.S. Guliyev & Z. Wu. Composition theorems in Besov spaces, the vector-valued case / M. Moussai. Pointwise approximation for certain mixed Szasz-Beta operators / Q. Qi & Y. Zhang -- session 2. Clifford and quaternion analysis. Criteria for monogenicity of Clifford-algebra-valued functions / R. Abreu Blaya [and others]. Hypermonogenic functions and bihypermonogenic functions in real Clifford analysis / Y. Qiao, H. Yang & X. Bian. Initial value problems for regular quaternion-valued initial functions / L.H. Son, N.C. Luong & N.Q. Hung -- session 3. Complex analysis and potential theory. The geometry of Blaschke product mappings / I. Barza & D. Ghisa. The layer potentials of some partial differential operators : real analytic dependence upon perturbations / M. Dalla Riva. Differential properties of [symbol]-homeomorphisms / A. Golberg. On characterization of the extension property / A.P. Goncharov. On some boundary properties of conformal mapping / O.W. Karupu. The jump problem on nonrectifiable curves and metric dimension / B.A. Kats. A functional analytic aproach to the analysis of the asymptotic behavior of the energy integral of a nonlinear transmission problem / M. Lanza de Cristoforis. Analogue of Jackson-Bernstein theorem in Lp on closed curves in the complex plane II / J.I. Mamedkhanov & I.B. Dadashova. An infinite-dimensional commutative Banach algebra and spatial potential fields / S.A. Plaksa -- session 4. Complex analytic methods for applied sciences. On the curvature of an inner curve in a Schwarz-Christoffel mapping / A. Andersson. An [symbol]-linear problem with derivatives for doubly periodic functions and its application / P. Drygaś -- session 5. Complex and functional analytic methods in partial differential equations. Some problems for elliptic systems on the plane / G. Akhalaia, G. Makatsaria & N. Manjavidze. Neumann Problem for generalized Poisson and bi-Poisson equations / Ü. Aksoy & A.O. C̮elebi. A new solution of some weighted problems for Riemann-Liouville and Weyl operators / M. Avci, S. Oğras & R.A. Mashiev. A polyharmonic Dirichlet problem of arbitrary order for complex plane domains / H. Begehr & T.S. Vaitekhovich. The Fourier transform method in controllability problems for the finite string equation with a boundary control bounded by a hard constant / L.V. Fardigola. Density problem of monodromy representation of Fuchsian systems / G.K. Giorgadze. About one class of second-order linear hyperbolic equations for which all of the boundary consist of singular lines / N. Rajabov. Asymptotic study of an anisotropic periodic rotating MHD system / R. Selmi. Hilbert-type boundary value problem for polyanalytic functions / Y. Wang & J. Wang. Existence and uniqueness of the solution of a free boundary problem for a parabolic complex equation / Y. Xu. First-order differential operators associated to the Cauchy-Riemann operator of Clifford analysis / U. Yüksel. Singular integral equation on the real axis with solution having singularity of higher order at infinite point / S. Zhong -- session 6. Dispersive equations. Generalized energy conservation / C. Böhme & M. Reissig. The Cauchy problem for a hyperbolic operator with log-Zygmund coefficients / D. Del Santo. An optimal transportation metric for two nonlinear PDEs / M. Fonte. Generalized energy conservation for wave equations with time-depending coefficients under stabilization properties / F. Hirosawa. A unified treatment of models of thermoelasticity, decay and diffusion phenomena / K. Jachmann & M. Reissig. Some results on spectral analysis of nonselfadjoint perturbations for schrödinger and wave equations / M. Kadowaki, H. Nakazawa & K. Watanabe. On scattering for evolution equations with time-dependent small perturbations / K. Mochizuki. Comparison of estimates for dispersive equations / M. Ruzhansky & M. Sugimoto. Dispersive estimates in anisotropic thermoelasticity / J. Wirth -- session 11. Oscillation of functional differential and difference equations. Oscillation criteria for a class of third-order nonlinear delay differential equations / M.F. Aktas̮ & A. Tiryaki. A criterion for existence of positive solutions of the equation ẏ(t) = -p(t)y[symbvol](t-r) / J. Diblík, M. Růz̆ic̆ková & Z. Svoboda. Discreteness of the spectrum of a nonselfadjoint second-order difference operator / E. Ergün & G.S. Guseinov. Eventually positive solutions of second-order superlinear dynamic equations / R. Mert & A. Zafer. Oscillation criteria for second-order nonlinear impulsive differential equations / A. Özbekler. Positive solutions of a nonlinear three-point boundary value problem on time scales / S.G. Topal & A. Yantir -- session 13. Reproducing kernels and related topics. Reproducing kernels for harmonic functions on some balls / K. Fujita. Numerical real inversion of the laplace transform by using a high-accuracy numerical method / H. Fujiwara [and others]. Practical inversion formulas for linear physical systems / M. Yamada & S. Saitoh -- session 14. Spaces of differentiable functions of several real variables and applications. Weighted Hölder estimates of singular integrals generated by a generalized shift operator / S.K. Abdullayev & A.A. Akperov. On interpolation properties of generalized Besov spaces / A. Almeida. Partial hypoellipticity of differential operators / T.G. Ayele & W.T. Bitew. Some embeddings and equivalent norms of the L[symbol] spaces / D. Drihem -- session 15. Numerical functional analysis. Global exponential periodicity for discrete-time Hopfield neural networks with finite distributed delays and impulses / H. Akc̮a [and others]. A note on the modified Padé difference schemes / A. Ashyralyev. Numerical solution of a one-dimensional parabolic inverse problem / A. Ashyralyev, A.S. Erdoğan & E. Demirci. Numerical solution of nonlocal boundary value problems for elliptic-parabolic equations / A. Ashyralyev & O. Gerc̆ek. On one difference scheme of second order of accuracy for hyperbolic equations / A. Ashyralyev & M.E. Köksal. On well-posedness of abstract hyperbolic problems in function spaces / A. Ashyralyev [and others]. A note on difference schemes of second order of accuracy for hyperbolic-parabolic equations / A. Ashyralyev & Y. Özdemir. Numerical solutions of Bitsadze-Samarskii problem for elliptic equations / A. Ashyralyev & E. Öztürk. A note on parabolic difference equations / A. Ashyralyev & Y. Sözen. Semiexplicit multisymplectic integration of nonlinear Schrödinger equation / A. Aydin & B. Karasözen. Nonlocal problems with special gluing for a parabolic-hyperbolic equation / A.S. Berdyshev & N.A. Rakhmatullaeva. Exact embedding theorems for traces and extensions / M.D. Ramazanov -- session 16. Integrable systems. The characteristic Chern-type classes and integrability of muiltidimensional differential systems on Riemannian manifolds / A.K. Prykarpaysky & N.N. Bogolubov. Introductory background to modern quantum mathematics with application to nonlinear dynamical systems / A.K. Prykarpatsky [and others] -- session 17. General session. Cohen p-nuclear multilinear mappings / D. Achour. Numerical modeling of a system of mutual reaction-diffusion type / M. Aripov & A. Khydarov. On complemented subspaces of E[symbol](a) x E[symbol](b) / E
Karapinar. Asymptotic formulas for eigenvalues and eigenfunctions of a nonselfadjoint Sturm-Liouville operator / K.R. Mamedov & H. Menken. On the multisublinear operators / L. Mezrag & K. Saadi. Probabilistic modular spaces / K. Nourouzi. An application of extremal points in dual spaces / S. Rezapour. On a problem for a parabolic-hyperbolic equation with a nonsmooth line of type changing / A.K. Urinov & I.U. Khaydarov -- Addenda to session 6. Dispersive equations. Asymptotic behavior and regularity for nonlinear dissipative wave equations in [symbol] / G. Todorova, D. Uğurlu & B. Yordanov. The blow-up boundary for a system of semilinear wave equations / H. Uesaka
Summary The ISAAC (International Society for Analysis, its Applications and Computation) Congress, which has been held every second year since 1997, covers the major progress in analysis, applications and computation in recent years. In this proceedings volume, plenary lectures highlight the recent research results, while 17 sessions organized by well-known specialists reflect the state of the art of important subfields. This volume concentrates on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, inverse problems, functional differential and difference equations and integrable systems
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Mathematical analysis -- Congresses.
Genre/Form Conference papers and proceedings.
Conference papers and proceedings.
Form Electronic book
Author Begehr, Heinrich G. W.
Celebi, A. Okay.
Gilbert, Robert P., 1932-
World Scientific (Firm)
ISBN 9789812837332 (electronic bk.)
9812837337 (electronic bk.)