Similarity Solutions of Partial Differential Equations in Probability by Mario Lefebvre

“…Some solutions are expressed as generalized Fourier series.…”
Get full text

Stability Analysis of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Time-Varying Delays by Chuangxia Huang, Xinsong Yang, Yigang He

“…The proposed results generalized and improved some earlier publications.…”
Get full text

Existence Results of Random Impulsive Integrodifferential Inclusions with Time-Varying Delays by Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy

“…Our study is based on the Martelli fixed point theorem, Pachpatte’s inequality, and the fixed point theorem due to Covitz and Nadler. Besides, we generalize, extend, and develop some well-known results in the existing literature.…”
Get full text

The Existence and Uniqueness of a New Boundary Value Problem (Type of Problem “E”) for Linear System Equations of the Mixed Hyperbolic-Elliptic Type in the Multivariate Dimension w... by Mahammad A. Nurmammadov

“…Applying methods of functional analysis, “ε-regularizing” continuation by the parameter and by means of prior estimates, the existence and uniqueness of generalized and regular solutions of a boundary problem are established in a weighted Sobolev space.…”
Get full text

On Uniformly Bazilevic and Related Functions by Khalida Inayat Noor

“…We introduce a new class of functions analytic in the open unit disc, which contains the class of Bazilevic functions and also generalizes the concept of uniform convexity. We establish univalence criterion for the functions in this class and investigate rate of growth of coefficients, arc length problem, inclusion results, and distortion bounds. …”
Get full text

Guillain-Barré Syndrome with Fatal Outcome during HIV-1-Seroconversion: A Case Report by Emanuele Pontali, Marcello Feasi, Maria Paola Crisalli, Giovanni Cassola

“…Among HIV-infected subjects, GBS has generally a favourable outcome. We report a case of GBS with fatal outcome during HIV seroconversion.…”
Get full text

An Extension of the Carathéodory Differentiability to Set-Valued Maps by Pedro Hurtado, Alexander Leones, M. Martelo, J. B. Moreno

“…This paper uses the generalization of the Hukuhara difference for compact convex set to extend the classical notions of Carathéodory differentiability to multifunctions (set-valued maps). …”
Get full text

Complete γ-th Moment Convergence for Weighted Sums Under WOD Setup by Qian Zhang, Yi Wu

“…Some sufficient conditions of complete moment convergence are obtained, which generalize some corresponding ones of negatively orthant dependent random variables in the literature.…”
Get full text

Periodic Boehmians by Dennis Nemzer

“…A class of generalized functions, called periodic Boehmians, on the unit circle, is studied. …”
Get full text

Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination by Gurmeet Singh, Gurcharanjit Singh, Gagandeep Singh

“…The results present in this paper would generalize and improve those in related works of several earlier authors.…”
Get full text

The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping by Hongwen Guo, Dihe Hu

“…We prove that this larger class of random sets are fractals in the sense of Taylor, and give conditions when these sets have positive and finite Hausdorff measures, which in certain extent generalize some of the known results, about random recursive fractals.…”
Get full text

Some Convergence and Stability Results for the Kirk Multistep and Kirk-SP Fixed Point Iterative Algorithms by Faik Gürsoy, Vatan Karakaya, B. E. Rhoades

“…We also prove some theorems related to the stability results for the Kirk multistep and Kirk-SP iterative processes by employing certain contractive-like operators. Our results generalize and unify some other results in the literature.…”
Get full text

Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive Effects by Qiongfen Zhang

“…The results obtained in this paper generalize and improve some existing works in the literature.…”
Get full text

Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions by Fatma Kanca

“…Under some assumption on the data, the existence, uniqueness, and continuous dependence on the data of the solution are shown by using the generalized Fourier method. The accuracy and computational efficiency of the proposed method are verified with the help of the numerical examples.…”
Get full text

Finite Time Stability of 2D Fractional Hyperbolic System with Time Delay by Abdellatif Ben Makhlouf, Hassen Arfaoui, Salah Boulaaras, Slim Dhahri

“…In this work, a class of two-dimensional fractional hyperbolic differential linear system (2D-FHDLS) with time delay is investigated. By using generalized Gronwall’s inequality, sufficient conditions for the finite time stability (FTS) of two-dimensional fractional hyperbolic differential system with time delay are given. …”
Get full text

New Approach to Fractal Approximation of Vector-Functions by Konstantin Igudesman, Marsel Davletbaev, Gleb Shabernev

“…This paper introduces new approach to approximation of continuous vector-functions and vector sequences by fractal interpolation vector-functions which are multidimensional generalization of fractal interpolation functions. Best values of fractal interpolation vector-functions parameters are found. …”
Get full text

Some New Postquantum Integral Inequalities by Yu-Ming Chu, Muhammad Uzair Awan, Sadia Talib, Sabah Iftikhar, Latifa Riahi

“…The goal of this paper is to derive a new generalized postquantum integral identity. Using this new identity as an auxiliary result, we derive some new variants of integral inequalities using p,q-differentiable preinvex functions. …”
Get full text

Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers by Li He, Wanping Liu

“…This paper studies a third-order conditional difference equation which is a generalization from the literature. We investigate this equation by transforming it into a first-order system. …”
Get full text

Tissue tropism and clinical manifestation of chicken infectious bronchitis (review) by Ali Dandal Shebli, V. V. Makarov

“…Chicken infectious bronchitis is one of the most important diseases for commercial poultry production. It is regarded generally as a respiratory system disease; different strains of chicken infectious bronchitis virus can demonstrate variability of tissue tropism and affect reproductive organs as well as kidneys with severe effects. …”
Get full text

On BRK-Algebras by Ravi Kumar Bandaru

“…The notion of BRK-algebra is introduced which is a generalization of BCK/BCI/BCH/Q/QS/BM-algebras. The concepts of 𝐺-part, 𝑝-radical, medial of a BRK-algebra are introduced and studied their properties. …”
Get full text