A Multivariate Stochastic Hybrid Model with Switching Coefficients and Jumps: Solution and Distribution by D. P. Siu, G. S. Ladde

“…The system under investigation is a first-order linear nonhomogeneous system of Itô-Doob type stochastic differential equations with switching coefficients. The switching of the system is governed by a discrete dynamic which is monitored by a non-homogeneous Poisson process. …”
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On some classes of almost periodic functions in abstract spaces by Dariusz Bugajewski, Gaston M. N'Guérékata

“…Some applications to ordinary as well as partial differential equations are presented. Moreover, we introduce the class of the so-called asymptotically C(n)-almost periodic functions and give some of their properties.…”
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The Small Time Asymptotics of SPDEs with Reflection by Juan Yang, Jianliang Zhai, Qing Zhou

“…We study stochastic partial differential equations with singular drifts and with reflection, driven by space-time white noise with nonconstant diffusion coefficients under periodic boundary conditions. …”
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A Multiresolution PDE-Based Deformable Surface for Medical Imaging Applications

“…<p>We recently developed a multiresolution PDE-based deformable surface whose deformation behavior is governed by partial differential equations (PDEs) such as the weighted minimal surface flow. …”
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Approximate Solution of Tuberculosis Disease Population Dynamics Model by Abdon Atangana, Necdet Bildik

“…We examine possible approximate solutions of both integer and noninteger systems of nonlinear differential equations describing tuberculosis disease population dynamics. …”
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Derivation of Asymptotic Dynamical Systems with Partial Lie Symmetry Groups by Masatomo Iwasa

“…The present study provides an extended method that is also applicable to partial differential equations. The main characteristic of the extended method is the restriction of the manifold by some constraint equations on which we search for a Lie symmetry group. …”
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Birth Rate Effects on an Age-Structured Predator-Prey Model with Cannibalism in the Prey by Francisco J. Solis, Roberto A. Ku-Carrillo

“…It consists of systems of m ordinary differential equations, where m is a parameter associated with new proposed prey birth rates. …”
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Constructions of solitary wave solutions for huge family of NPDEs with three applications. by Hanan A Alkhidhr, Y Omar

“…This study offers closed-form solutions for the frequently utilised families of nonlinear partial differential equations (NPDEs). This form based on the He's semi-inverse technique. …”
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Existence and Stability of Square-Mean S-Asymptotically Periodic Solutions to a Fractional Stochastic Diffusion Equation with Fractional Brownian Motion by Jia Mu, Jiecuo Nan, Yong Zhou

“…In this paper, a generalized Gronwall inequality is demonstrated, playing an important role in the study of fractional differential equations. In addition, with the fixed-point theorem and the properties of Mittag–Leffler functions, some results of the existence as well as asymptotic stability of square-mean S-asymptotically periodic solutions to a fractional stochastic diffusion equation with fractional Brownian motion are obtained. …”
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The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant and g-Circulant Matrices Involving Any Continuous Fibonacci and Lucas Numbers by Zhaolin Jiang, Dan Li

“…Circulant matrices play an important role in solving delay differential equations. In this paper, circulant type matrices including the circulant and left circulant and g-circulant matrices with any continuous Fibonacci and Lucas numbers are considered. …”
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Positive Solutions for Nonlinear Singular Differential Systems Involving Parameter on the Half-Line by Lishan Liu, Ying Wang, Xinan Hao, Yonghong Wu

“…By using the upper-lower solutions method and the fixed-point theorem on cone in a special space, we study the singular boundary value problem for systems of nonlinear second-order differential equations involving two parameters on the half-line. …”
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Solving the Linear 1D Thermoelasticity Equations with Pure Delay by Denys Ya. Khusainov, Michael Pokojovy

“…We propose a system of partial differential equations with a single constant delay τ>0 describing the behavior of a one-dimensional thermoelastic solid occupying a bounded interval of R1. …”
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Mean-periodic functions by Carlos A. Berenstein, B. A. Taylor

“…Ehrenpreis' work on partial differential equations with constant coefficients to arbitrary convolutors. …”
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Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods by Özkan Güner, Dursun Eser

“…As a result, these methods can also be applied to other nonlinear fractional differential equations.…”
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Linear algebra and differential geometry on abstract Hilbert space by Alexey A. Kryukov

“…The formalism itself and its applications in linear algebra, differential equations, and differential geometry are carefully analyzed.…”
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Registration-Based Morphing of Active Contours for Segmentation of CT Scans by Yuan-Nan Young, Doron Levy

“…We present a new algorithm for segmenting organs in CT scans forradiotherapy treatment planning.Given a contour of an organ that is segmentedin one image, our algorithm proceeds tosegment contours that identify the same organ inthe consecutive images.Our technique combines partial differential equations-based morphing activecontours with algorithms for joint segmentation and registration. …”
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Nonlinear Effects of Electromagnetic TM Wave Propagation in Anisotropic Layer with Kerr Nonlinearity by Yu G. Smirnov, D. V. Valovik

“…This electromagnetic problem is reduced to the nonlinear boundary eigenvalue problem for ordinary differential equations. It is necessary to find eigenvalues of the problem (propagation constants of an electromagnetic wave). …”
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An Algorithm for Higher Order Hopf Normal Forms by A.Y.T. Leung, T. Ge

“…This article provides an explicit formula for the normalization of nonlinear differential equations. The higher order normal form is given explicitly. …”
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Mathematical Modeling for Optimal Management of Human Resources in Banking Sector of Bangladesh by Uzzwal Kumar Mallick, Md. Haider Ali Biswas

“…A system of ordinary nonlinear differential equations has three state variables including vacancies. …”
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Semianalytical Solutions of Some Nonlinear-Time Fractional Models Using Variational Iteration Laplace Transform Method by Javed Iqbal, Khurram Shabbir, Liliana Guran

“…In this work, we combined two techniques, the variational iteration technique and the Laplace transform method, in order to solve some nonlinear-time fractional partial differential equations. Although the exact solutions may exist, we introduced the technique VITM that approximates the solutions that are difficult to find. …”
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