Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops by F. Moriello

“…This is achieved by defining differential equations along contours connecting two fixed points, and by solving them in terms of one-dimensional generalised power series. …”
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Analysis of Metallic Nanoparticles (Cu, Al2O3, and SWCNTs) on Magnetohydrodynamics Water-Based Nanofluid through a Porous Medium by P. K. Pattnaik, S. K. Parida, S. R. Mishra, M. Ali Abbas, M. M. Bhatti

“…To formulate the mathematical modelling, similarity transformations were used, and nonlinear differential equations were obtained. To solve the formulated nonlinear differential equations, the Runge–Kutta fourth-order numerical scheme is used in conjunction with the shooting technique. …”
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Chemical Reaction and Generalized Heat Flux Model for Powell–Eyring Model with Radiation Effects by Faisal Salah

“…This contrast is important because it shows how precisely the successive linearization method can resolve a set of nonlinear differential equations. Following that, the generated solution is studied and explained in relation to a variety of engineering parameters. …”
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Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate by Winifred Nduku Mutuku-Njane, Oluwole Daniel Makinde

“…A suitable similarity transformation is employed to reduce the governing partial differential equations into nonlinear ordinary differential equations, which are solved numerically by employing fourth-order Runge-Kutta with a shooting technique. …”
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Solving Nonlinear Energy Supply and Demand System Using Physics-Informed Neural Networks by Van Truong Vo, Samad Noeiaghdam, Denis Sidorov, Aliona Dreglea, Liguo Wang

“…Nonlinear differential equations and systems play a crucial role in modeling systems where time-dependent factors exhibit nonlinear characteristics. …”
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On a New Class of Antiperiodic Fractional Boundary Value Problems by Bashir Ahmad, Juan J. Nieto, Ahmed Alsaedi, Nadia Mohamad

“…This paper investigates a new class of antiperiodic boundary value problems of higher order fractional differential equations. Some existence and uniqueness results are obtained by applying some standard fixed point principles. …”
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Classification of Exact Solutions for Generalized Form of Equation by Hasan Bulut

“…From here, we find some interesting results for nonlinear partial differential equations with generalized evolution.…”
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Global attractivity without stability for Liénard type systems by Marian Mureşan

“…We are concerned with some conditions such as the trivial solution of a planar system of differential equations (including the Liénard system) that is globally attractive but not stable. …”
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On Some Fractional Stochastic Integrodifferential Equations in Hilbert Space by Hamdy M. Ahmed

“…We also give an application for stochastic integropartial differential equations of fractional order.…”
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Fixed Point Theorems and Uniqueness of the Periodic Solution for the Hematopoiesis Models by Jun Wu, Yicheng Liu

“…We present some results to the existence and uniqueness of the periodic solutions for the hematopoiesis models which are described by the functional differential equations with multiple delays. Our methods are based on the equivalent norm techniques and a new fixed point theorem in the continuous function space.…”
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Positive Solutions for Singular p-Laplacian Fractional Differential System with Integral Boundary Conditions by Liping Wang, Zongfu Zhou, Hui Zhou

“…This paper investigates the existence of positive solutions for a class of singular p-Laplacian fractional differential equations with integral boundary conditions. …”
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Nonlinear Dynamic Analysis of Macrofiber Composites Laminated Shells by Xiangying Guo, Dameng Liu, Wei Zhang, Lin Sun, Shuping Chen

“…The vibration mode-shape functions are obtained according to the boundary conditions, and then the Galerkin method is employed to transform partial differential equations into two nonlinear ordinary differential equations. …”
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Positivity of Fundamental Matrix and Exponential Stability of Delay Differential System by Alexander Domoshnitsky, Roman Shklyar, Mikhail Gitman, Valery Stolbov

“…Results on nonnegativity of the Cauchy matrix for system of delay differential equations xi′t+∑j=1n‍pijtxjhijt=fit,   i=1,…,n, which were based on nonpositivity of all diagonal elements, were presented in the previous works. …”
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A Nonstandard Dynamically Consistent Numerical Scheme Applied to Obesity Dynamics by Rafael J. Villanueva, Abraham J. Arenas, Gilberto González-Parra

“…This interacting population model represented as a system of coupled nonlinear ordinary differential equations is used to analyze, understand, and predict the dynamics of obesity populations. …”
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A Modified NM-PSO Method for Parameter Estimation Problems of Models by An Liu, Erwie Zahara, Ming-Ta Yang

“…Ordinary differential equations usefully describe the behavior of a wide range of dynamic physical systems. …”
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Analysis of the Physical Behavior of the Periodic Mixed-Convection Flow around a Nonconducting Horizontal Circular Cylinder Embedded in a Porous Medium by Muhammad Ashraf, Zia Ullah, Saqib Zia, Sayer O. Alharbi, Dumitru Baleanu, Ilyas Khan

“…For this purpose, a model in the form of partial differential equations is formulated, and then, the governing equations of the dimensionless model are transformed into the primitive form for integration by using primitive variable formulation. …”
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Comment on “Variational Iteration Method for Fractional Calculus Using He’s Polynomials” by Ji-Huan He

“…A standard variational iteration algorithm for fractional differential equations is suggested.…”
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Duffing-Type Oscillator with a Bounded from above Potential in the Presence of Saddle-Center Bifurcation and Singular Perturbation: Frequency Control by Robert Vrabel, Pavol Tanuska, Pavel Vazan, Peter Schreiber, Vladimir Liska

“…We analyze the dynamics of the forced singularly perturbed differential equations of Duffing’s type with a potential that is bounded from above. …”
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Nonlinear variational evolution inequalities in Hilbert spaces by Jin-Mun Jeong, Doo-Hoan Jeong, Jong-Yeoul Park

“…The regular problem for solutions of the nonlinear functional differential equations with a nonlinear hemicontinuous and coercive operator A and a nonlinear term f(.,.)…”
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Linear and Riccati matrix equations by Lloyd K. Williams

“…In this paper we find exact solutions for linear ordinary differential equations of any order when they are given in matrix form, as well as for classes of Riccati matrix equations with two or three arbitrary matrix coefficients. …”
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