Recursos de colección
Project Euclid (Hosted at Cornell University Library) (191.996 recursos)
Abstract and Applied Analysis
Abstract and Applied Analysis
Bahri, Mawardi; Ashino, Ryuichi
The continuous quaternion wavelet transform(CQWT) is a generalization of the classical continuous wavelet transformwithin the
context of quaternion algebra. First of all, we show that the directional quaternion Fourier transform (QFT) uncertainty principle
can be obtained using the component-wise QFT uncertainty principle. Based on this method, the directional QFT uncertainty
principle using representation of polar coordinate form is easily derived. We derive a variation on uncertainty principle related
to the QFT. We state that the CQWT of a quaternion function can be written in terms of the QFT and obtain a variation on
uncertainty principle related to the CQWT. Finally, we apply the extended uncertainty...
Tunç, Cemil; Liu, Bingwen; Sanchez, Luís R.; Alimohammady, Mohsen; Mustafa, Octavian G.; Saker, Samir H.
Tunç, Cemil; Liu, Bingwen; Sanchez, Luís R.; Alimohammady, Mohsen; Mustafa, Octavian G.; Saker, Samir H.
Ndogmo, J. C.
An effective method for generating linear ordinary differential equations of maximal symmetry in their most general form is found, and an explicit expression for the point transformation reducing the equation to its canonical form is obtained. New expressions for the general solution are also found, as well as several identification and other results and a direct proof of the fact that a linear ordinary differential equation is iterative if and only if it is reducible to the canonical form by a point transformation. New classes of solvable equations parameterized by an arbitrary function are also found, together with simple algebraic...
Li, Fu-zhi; Yu, Jia-li; Li, Yang-rong; Yang, Gan-shan
Based on classical Lie Group method, we construct a class of explicit solutions of two-dimensional ideal incompressible magnetohydrodynamics (MHD) equation by its infinitesimal generator. Via these explicit solutions we study the uniqueness and stability of initial-boundary problem on MHD.
Company, R.; Egorova, V. N.; Jódar, L.
This paper deals with numerical analysis and computing of spread option pricing problem described by a two-spatial variables partial differential equation. Both European and American cases are treated. Taking advantage of a cross derivative removing technique, an explicit difference scheme is developed retaining the benefits of the one-dimensional finite difference method, preserving positivity, accuracy, and computational time efficiency. Numerical results illustrate the interest of the approach.
Pantoja Díaz, Odette; Ribes-Giner, Gabriela; Perello-Marin, María Rosario
The objective of this study is to apply the cocreation initiative as a marketing tool in the context of university undergraduate programs. Considering that cocreation is a practice that involves stakeholders in different phases of product production or service, this research analyzes the interactions between some of the factors during the cocreation process as students collaborate with the university. These factors are participation, communication, cocreation, and satisfaction, and this study focuses on how they fuse together at the moment of cocreation. After a literature review, which supplied the basis for creating a model, we used exploratory and confirmatory factor analysis...
Álvarez, Francisco; Rey, José-Manuel; Sanchis, Raúl G.
We consider the ubiquitous problem of a seller competing in a market of a product with dispersed prices and having limited information about both his competitors’ prices and the shopping behavior of his potential customers. Given the distribution of market prices, the distribution of consumers’ shopping behavior, and the seller’s cost as inputs, we find the computational solution for the pricing strategy that maximizes his expected profits. We analyze the seller’s solution with respect to different exogenous perturbations of parametric and functional inputs. For that purpose, we produce synthetic price data using the family of Generalized Error Distributions that includes...
Cortés, J. C.; Chen-Charpentier, B.; Company, R.; Solis, Francisco J.; Torregrosa, J. R.; Villanueva, R. J.
Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Sohaly, M. A.
This paper deals with the numerical solution of the random Cauchy one-dimensional heat model. We propose a random finite difference numerical scheme to construct numerical approximations to the solution stochastic process. We establish sufficient conditions in order to guarantee the consistency and stability of the proposed random numerical scheme. The theoretical results are illustrated by means of an example where reliable approximations of the mean and standard deviation to the solution stochastic process are given.
Poza, E. De la; Jódar, L.; Barreda, S.
The fact that women are abused by their male partner is something that happens worldwide in the 21st century. In numerous cases, abuse only becomes publicly known when a fatal event occurs and is beyond any possible remedy, that is, when men murder their female partner. Since 2003, 793 (September 4, 2015) women have been assassinated by their significant other or excouple in Spain. Only 7.2% of murdered women had reported their fear and previous intimate partner violence (IPV) to the police. Even when the number of female victims is comparable to the number of victims by terrorism, the Government...
Anaya, Christopher; Burgos, Clara; Cortés, Juan-Carlos; Villanueva, Rafael-J.
A probabilistic model is proposed to study the transmission dynamics of the cocaine consumption in Spain during the period of 1995–2011. Using the so-called probabilistic fitting technique, we study if the model is able to capture the data uncertainty coming from surveys. The proposed model is formulated through a nonlinear system of difference equations whose coefficients are treated as stochastic processes. A discussion regarding the usefulness and limitations of probabilistic fitting technique in order to capture the data uncertainty of the proposed model is presented.
Ellahiani, Idriss; Essoufi, EL-Hassan; Tilioua, Mouhcine
The paper deals with global existence of weak solutions to a one-dimensional mathematical model describing magnetoelastic interactions. The model is described by a fractional Landau-Lifshitz-Gilbert equation for the magnetization field coupled to an evolution equation for the displacement. We prove global existence by using Faedo-Galerkin/penalty method. Some commutator estimates are used to prove the convergence of nonlinear terms.
Kholkin, Aleksandr Mikhailovich
A resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained.
Salari, Amjad; Caristi, Giuseppe; Barilla, David; Puglisi, Alfio
We continue the study of discrete anisotropic equations and we will provide new multiplicity results of the solutions for a discrete anisotropic equation. We investigate the existence of infinitely many solutions for a perturbed discrete anisotropic boundary value problem. The approach is based on variational methods and critical point theory.
Medina, Rigoberto
We consider a class of nonlinear discrete-time Volterra equations in Banach spaces. Estimates for the norm of operator-valued functions and the resolvents of quasi-nilpotent operators are used to find sufficient conditions that all solutions of such equations are elements of an appropriate Banach space. These estimates give us explicit boundedness conditions. The boundedness of solutions to Volterra equations with infinite delay is also investigated.
Khan, Zareen A.
The goal of this paper is to achieve some new results related to integrodifferential inequalities of one independent variable which can be applied as a study of qualitative and quantitative properties of solutions of some nonlinear integral equations.
Motos, Joaquín; Planells, María Jesús; Talavera, César F.
We show that the dual ${({B}_{p(·)}^{\mathrm{l}\mathrm{o}\mathrm{c}}(\mathrm{\Omega }))}^{\mathrm{\prime }}$ of the variable exponent Hörmander space ${B}_{p(·)}^{\mathrm{l}\mathrm{o}\mathrm{c}}(\mathrm{\Omega })$ is isomorphic to the Hörmander space ${B}_{\mathrm{\infty }}^{c}(\mathrm{\Omega })$ (when the exponent $p(·)$ satisfies the conditions $\mathrm{0}<{p}^{-}\le {p}^{+}\le \mathrm{1}$ , the Hardy-Littlewood maximal operator $M$ is bounded on ${L}_{p(·)/{p}_{\mathrm{0}}}$ for some $\mathrm{0}<{p}_{\mathrm{0}}<{p}^{-}$ and $\mathrm{\Omega }$ is an open set in ${\mathbb{R}}^{n}$ ) and that the Fréchet envelope of ${B}_{p(·)}^{\mathrm{l}\mathrm{o}\mathrm{c}}(\mathrm{\Omega })$ is the space ${B}_{\mathrm{1}}^{\mathrm{l}\mathrm{o}\mathrm{c}}(\mathrm{\Omega })$ . Our proofs rely heavily on the properties of the Banach envelopes of the ${p}_{\mathrm{0}}$ -Banach local spaces of ${B}_{p(·)}^{\mathrm{l}\mathrm{o}\mathrm{c}}(\mathrm{\Omega })$ and on the inequalities established in the extrapolation...
Kantrowitz, Robert; Neumann, Michael M.
This article explores the fate of the infinite series tests of Dirichlet, Dedekind, and Abel in the context of an arbitrary ordered field. It is shown that each of these three tests characterizes the Dedekind completeness of an Archimedean ordered field; specifically, none of the three is valid in any proper subfield of $\mathbb{R}$ . The argument hinges on a contractive-type property for sequences in Archimedean ordered fields that are bounded and strictly increasing. For an arbitrary ordered field, it turns out that each of the tests of Dirichlet and Dedekind is equivalent to the sequential completeness of the field.
Jassim, Hassan Kamil
We used the local fractional variational iteration transform method (LFVITM) coupled by the local fractional Laplace transform and variational iteration method to solve three-dimensional diffusion and wave equations with local fractional derivative operator. This method has Lagrange multiplier equal to minus one, which makes the calculations more easily. The obtained results show that the presented method is efficient and yields a solution in a closed form. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new method.