Double-Scale Expansions for a Logarithmic Type Solution to a q-Analog of a Singular Initial Value Problem by Stéphane Malek

“…We examine a linear q−difference differential equation, which is singular in complex time t at the origin. …”
Get full text

The Chini integrability condition in second order Lovelock gravity by Mohammed O. E. Ismail, Sunil D. Maharaj, Byron P. Brassel

“…We then determine a systematic approach to integrate the condition of pressure isotropy by showing that the canonical form is a Chini differential equation. The Chini invariant, which allows the master differential equation to be separable, is identified. …”
Get full text

Recognition of High Difference Features in Urban Planning Images Based on Morphological Filtering by Peipei Liu

“…This paper mainly studies the image enhancement method based on partial differential equation. By analysing the combination of partial differential equation theory and enhancement, aiming at the shortcomings of low recognition accuracy, high error rate, and long time consuming in the current method of urban planning image feature recognition, a feature enhancement and simulation of urban planning image based on partial differential equation method is proposed; the preprocessing of urban planning image is realized by collecting the urban planning image. …”
Get full text

Similar Construction Method of Solution for Solving the Mathematical Model of Fractal Reservoir with Spherical Flow by Cui-Cui Sheng, Jin-Zhou Zhao, Yong-Ming Li, Shun-Chu Li, Hu Jia

“…On the basis of similar structure of solution for a second-order linear differential equation's boundary value problem, and our analysis of the relationship between this similar structure and its kernel function, the differential equation, and the boundary conditions, we propose a new simple solution—similar constructive method of solution (SCMS)—and sum up its detailed steps. …”
Get full text

Modified Wiener equations by Will Watkins

“…This paper is concerned with a class of functional differential equations whose argument transforms are involutions. …”
Get full text

NONLINEAR DYNAMICS ANALYSIS OF DIAPHRAGM COUPLING SYSTEMS WITH ANGULAR MISALIGNMENT by SHENTU LiuFang, ZHAO QingJia, YANG Ping, QIN ShaoBo, SUN YaJun

“…Later,the differential equation is solved by the numerical method. …”
Get full text

Similarity Solution for Fractional Diffusion Equation by Jun-Sheng Duan, Ai-Ping Guo, Wen-Zai Yun

“…Fractional diffusion equation in fractal media is an integropartial differential equation parametrized by fractal Hausdorff dimension and anomalous diffusion exponent. …”
Get full text

A Generalized Solow-Swan Model by Donghan Cai, Hui Ye, Longfei Gu

“…By introducing generalized exogenous variables into the classical Solow-Swan model, we obtain a nonautomatic differential equation. It is proved that the solution of the differential equation is asymptotically stable if the generalized exogenous variables converge and does not converge when one of the generalized exogenous variables persistently oscillates.…”
Get full text

Pulse Dynamics in a Bistable Reaction-Diffusion System with Chemotaxis by Satoshi Kawaguchi

“…We derive the ordinary differential equation of interfaces by applying the multiple scales method to the reaction-diffusion system for examining the effect of the chemotaxis on pulse dynamics in one dimension. …”
Get full text

Natural Frequency Analysis based on RV Reducer Theory Model by Yueming Zhang, Bin Shao, Shuting Ji

“…Taking RV-320E gear reducer as the research object and considering tangential degrees of freedom of crank shaft and cycloid wheel rotation motion，the 16 degrees of freedom dynamic model of RV gear reducer is established by centralized mass method. The dynamics differential equation of the system is established by Newton's second law and the differential equation of fixed axis rotation，and the natural frequency of the system is calculated. …”
Get full text

The Analysis of Contour Integrals by Tanfer Tanriverdi, JohnBryce Mcleod

“…For any 𝑛, the contour integral 𝑦=cosh𝑛+1𝑥∮𝐶(cosh(𝑧𝑠)/(sinh𝑧−sinh𝑥)𝑛+1𝑑𝑧,𝑠2=−𝜆, is associated with differential equation 𝑑2𝑦(𝑥)/𝑑𝑥2+(𝜆+𝑛(𝑛+1)/cosh2𝑥)𝑦(𝑥)=0. …”
Get full text

Numerical Solution of Uncertain Beam Equations Using Double Parametric Form of Fuzzy Numbers by Smita Tapaswini, S. Chakraverty

“…Using the single parametric form, the fuzzy beam equation is converted first to an interval-based fuzzy differential equation. Next, this differential equation is transformed to crisp form by applying double parametric form of fuzzy number. …”
Get full text

Fixed Points for Multivalued Suzuki Type (θ,R)-Contraction Mapping with Applications by Mujahid Abbas, Hira Iqbal, Adrian Petrusel

“…As an application of our results, we obtain a homotopy result, proving the existence of a solution for a second-order differential equation and for a first-order fractional differential equation.…”
Get full text

Well-posedness of the difference schemes of the high order of accuracy for elliptic equations by Allaberen Ashyralyev, Pavel E. Sobolevskiĭ

“…It is well known the differential equation −u″(t)+Au(t)=f(t)(−∞<t<∞) in a general Banach space E with the positive operator A is ill-posed in the Banach space C(E)=C((−∞,∞),E) of the bounded continuous functions ϕ(t) defined on the whole real line with norm ‖ϕ‖C(E)=sup⁡−∞<t<∞‖ϕ(t)‖E. …”
Get full text

Asian Option Pricing with Transaction Costs and Dividends under the Fractional Brownian Motion Model by Yan Zhang, Di Pan, Sheng-Wu Zhou, Miao Han

“…The pricing problem of geometric average Asian option under fractional Brownian motion is studied in this paper. The partial differential equation satisfied by the option’s value is presented on the basis of no-arbitrage principle and fractional formula. …”
Get full text

Axially Symmetric-dS Solution in Teleparallel f(T) Gravity Theories by Gamal G. L. Nashed

“…Using this tetrad, we get a differential equation from the scalar torsion T=TαμνSαμν. …”
Get full text

Analysing nonlinear oscillation and chaos using fundamental-wave balance principle by HUANG Bing-hua, HUANG Xin-min, WEI Shan-ge

“…The universality of the conclusion can be spread to third-order nonlinear differential equation. It is expounded that a differential equation possessing multiple periodic solutions is the important reason of generating chaotic oscillation. …”
Get full text

Modeling Method and Inherent Characteristic Analysis of Cycloid Pin Gear Transmission by Xueping Song, Aibin Bi, Bowen Lu

“…Considering the eccentric motion of cycloid and the influence of time-varying stiffness， backlash and transmission error of cycloid and pin gear， the differential equation of motion of the system is obtained by Lagrange method. …”
Get full text

Structural Parameter Identification of Fixed End Beams by Inverse Method Using Measured Natural Frequencies by T. Türker, A. Bayraktar

“…The solution of free bending transverse vibration of the beam is obtained by solving the differential equation motion of Bernoulli-Euler beam. By introducing the natural frequencies from experimental measurements into the solution of differential equation, the structural parameters of the fixed end beam are calculated.…”
Get full text

Propagation of Shear Horizontal Wave at Magneto-Electro-Elastic Structure Subjected to Mechanically Imperfect Interface by Anandakrishnan Akshaya, Santosh Kumar, Kulandhaivel Hemalatha

“…This involves initially transforming the partial differential equation into an ordinary differential equation through basic variable separation and the ordinary differential equation is solved by WKB approximation technique. …”
Get full text