ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS

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On behavior of solutions of non-linear differential equations in Hilbert space II by Vladimir Schuchman

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The behavior of solutions of non-linear differential equations in Hilbert space. I by Vladimir Schuchman

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The Stability and Catastrophic Behavior of Finite Periodic Solutions in Non-Linear Differential Equations by Isam R. Faeq, Shwan O. Abdalrahman

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A novelty Multi-Step Associated with Laplace Transform Semi Analytic Technique for Solving Generalized Non-linear Differential Equations by Khalid Hammood AL-Jizani, Ahmed Hanoon Abud

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Analysis of a Mathematical Model of Zoonotic Visceral Leishmaniasis (ZVL) Disease by Goni Umar Modu, Suphawat Asawasamrit, Abdulfatai Atte Momoh, Mathew Remilekun Odekunle, Ahmed Idris, Jessada Tariboon

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Kink soliton phenomena of fractional conformable Kairat equations by M. Mossa Al-Sawalha, Safyan Mukhtar, Azzh Saad Alshehry, Mohammad Alqudah, Musaad S. Aldhabani

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On non-oscillation for two dimensional systems of non-linear ordinary differential equations by Zdeněk Opluštil

“…The paper studies the non-oscillatory properties of two-dimensional systems of non-linear differential equations u′=g(t)|v|1αsgnv,v′=−p(t)|u|αsgnu,g:[0,+∞[→[0,+∞[p:[0,+∞[→ℝα>0∫+∞g(s)ds<+∞…”
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Numerical Stability Study of the Explicit-Implicit Range-Kuta Synthesis Methods (IMEX-ARK) by Thair Thanoon, Younis Hussain

“…In this research we studied the numerical stability for Implicit-Explicit Additive Runge-Kutta (IMEX-ARK) methods which have the          A[]-stability .This stability is equivalent A-stability of (B()-ARK) methods where B()=B₁+(1-)B₂ of second and third order for different intervals of values.This methods are suitable for solving stiff non-linear differential equations which has the form :   which contains stiff and non-stiff terms. …”
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Method to Investigate Railway Vehicles Forced Oscillations in Curves in the Inertial Reference System by V. M. Kondrashov

“…Object of examination is represented with four-axle vehicle described by a set of non-linear differential equations. There are given computation results as exemplified by such vehicle movement in curves with different radii.…”
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Dual Solution with Heat Transfer through Moving Porous Plate of an Unsteady Incompressible Viscous Fluid by Tasawar Abbas, Aaqib Majeed, Bilal Ahmad, Muhammad Noveel Sadiq, Qazi Mahmood Ul Hassan, Hakeem Ullah, Seham M. Al-Mekhlafi

“…Application of the Keller–Box technique allows the non-linear differential equations to transform to a scheme of linear differential equations which are easier to illuminate. …”
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SOLUSI PENDEKATAN PERSAMAAN GELOMBANG FRAKSIONAL NON LINEAR MENGGUNAKAN NEW VERSION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD by Faiqul Fikri, Eddy Djauhari, Endang Rusyaman

“…Non-linear differential equations with fractional derivative order are mathematical models that are widely used in modeling physical phenomena, one of the applications of these models is non-linear fractional wave equations. …”
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Efficient PINNs via multi-head unimodular regularization of the solutions space by Pedro Tarancón-Álvarez, Pablo Tejerina-Pérez, Raul Jimenez, Pavlos Protopapas

“…Abstract Non-linear differential equations are a fundamental tool to describe different phenomena in nature. …”
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Variation Approach and Principle of Maximum in Theory of Dynamic Systems by A. Yu. Proskuryakov

“…The authors study process modeling in economic systems, set the task of optimal management by the system of non-linear differential equations and target functionality, describe the variation method of task resolving, the principle of invariability of non-linear systems and possibilities to model economic systems provided by the solution. …”
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On Non-Linear Differential Systems with Mixed Boundary Conditions by Miklós Rontó

“…For the constructive analysis of locally Lipschitzian system of non-linear differential equations with mixed periodic and two-point non-linear boundary conditions, a numerical-analytic approach is developed, which allows one to study the solvability and construct approximations to the solution. …”
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Disentangling dynamic and stochastic modes in multivariate time series by Christian Uhl, Annika Stiehl, Nicolas Weeger, Markus Schlarb, Markus Schlarb, Knut Hüper

“…Furthermore, the algorithm is able to estimate the number of linear and non-linear differential equations and to extract the corresponding amplitudes. …”
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Numerical and analytical investigation of Jeffrey nanofluid convective flow in magnetic field by FEM and AGM by Mohammad ِDehghan Afifi, Ali Jahangiri, Mohammad Ameri

“…Solving and developing non-linear differential equations is done using finite element method (FEM) and Akbari-Ganji method (AGM). …”
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Accelerating and decelerating flow of radiatively Casson fluid between two permeable disks under convective boundary conditions by A. Naeem, Z. Abbas, M.Y. Rafiq

“…Jacobi elliptic sine square function is used to derive the solution of non-linear differential equations by transforming the equations into an elliptic integral form and then by using a change of variables which simplifies the governing equations so that the solution can be derived easily. …”
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On nonlinear coupled differential system for heat transfer in magnetized enclosure with T-shaped baffle by using machine learning by Khalil Ur Rehman, Wasfi Shatanawi, Lok Yian Yian

“…The flow is formulated in terms of coupled non-linear differential equations and solved for two different thermal flow fields namely baffle with heated tip and baffle with cold tip. …”
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Effect of viscous dissipation in heating/cooling of grade three fluid in a pipe subjected to uniform surface temperature by Sumanta Chaudhuri, Rajiva Lochan Mohanty, Paromita Chakraborty, Vijay Kumar Mishra

“…Least square method is a widely used semi-analytical tool used for solving non-linear differential equations. Results of the numerical solution and semi-analytical solutions are compared and are observed to be in close agreement. …”
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