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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Enhanced heat transfer and flow dynamics of Powell-Eyring nanofluid: unsteady stretched surface and with Stefan blowing/suction by Kalyan Kumar Challa, M. Eswara Rao, Muhammad Jawad, Taoufik Saidani, Suhad Ali Osman Abdallah, Thenmozhi D

“…Through similarity variables, the governing partial differential equations of Powell- Eyring nanofluid model are transformed into ordinary differential equations. …”
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Modular multilevel converter periodic trajectory determination — A generic Fourier-based collocation method by Philippe De Rua, Jef Beerten

“…In the case of the MMC, the periodic trajectory determination is challenging due to nonlinearity and delays in the differential equations, in particular when control dynamics are taken into account. …”
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Determining the First Probability Density Function of Linear Random Initial Value Problems by the Random Variable Transformation (RVT) Technique: A Comprehensive Study by M.-C. Casabán, J.-C. Cortés, J.-V. Romero, M.-D. Roselló

“…Deterministic differential equations are useful tools for mathematical modelling. …”
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Reducing M2 macrophage in lung fibrosis by controlling anti-M1 agent by Fatemeh Bahram Yazdroudi, Alaeddin Malek

“…The study employs a two-step process of discretization followed by optimization, utilizing the Galerkin spectral method to transform the M2 diffusion PDE into an algebraic system of ordinary differential equations (ODEs). The optimal control problem is then solved using Pontryagin/s minimum principle, canonical Hamiltonian equations, and extended Riccati differential equations. …”
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Mathematical model and stability of SWCNT- and MWCNT-based nanofluid flow with thermal and chemically reactive effects inside a porous vertical cone by Haihua Xu, Fuad A. Awwad, Emad A. A. Ismail, Waris Khan

“…Based on the flow assumptions, the fundamental flow equations are modeled as partial differential equations (PDEs). Using the appropriate transformation, the PDEs are converted to ordinary differential equations and then solved via RK4 in MATLAB. …”
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Fast Attitude Maneuver of a Flexible Spacecraft with Passive Vibration Control Using Shunted Piezoelectric Transducers by Bassam A. Albassam

“…To simplify the analysis, the nonlinear ordinary differential equations of motion are then obtained using the assumed mode method. …”
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Application of DTM to heat source/sink in squeezing flow of iron oxide polymer nanofluid between electromagnetic surfaces by Reshu Gupta, A.B. Albidah, NFM Noor, Ilyas Khan

“…The governing partial differential equations (PDEs) for flow, heat, and mass transfer are transformed into nonlinear ordinary differential equations (ODEs) through the appropriate similarity transformation. …”
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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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Coincidence Fixed-Point Theorems for p-Hybrid Contraction Mappings in Gb-Metric Space with Application by Lucas Wangwe

“…Henceforth, the illustrative applications are given by using nonlinear fractional differential equations.…”
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Variational Approach to Impulsive Problems: A Survey of Recent Results by Fang-fang Liao, Juntao Sun

“…We present a survey on the existence of nontrivial solutions to impulsive differential equations by using variational methods, including solutions to boundary value problems, periodic solutions, and homoclinic solutions.…”
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On the Carleman classes of vectors of a scalar type spectral operator by Marat V. Markin

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Computable error bounds for collocation methods by A. H. Ahmed

“…This paper deals with error bounds for numerical solutions of linear ordinary differential equations by global or piecewise polynomial collocation methods which are based on consideration of the involved differential operator, related matrices and the residual. …”
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Singular boundary value problem on infinite time scale

“…<p>This paper deals with a class of singular boundary value problems of differential equations on infinite time scale. An existence theorem of positive solutions is established by using the Schauder fixed point theorem and perturbation and operator approximation method, which resolves the singularity successfully and differs from those of some papers. …”
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About the location of some quasipolinomial roots by Donatas Švitra, Ingrida Sirvydaitė

“…The same research is carried out for a differential equation with delay of neutral type appearing in mathematical ecology. …”
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Type-K Exponential Ordering with Application to Delayed Hopfield-Type Neural Networks by Bin-Guo Wang

“…Order-preserving and convergent results of delay functional differential equations without quasimonotone condition are established under type-K exponential ordering. …”
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Solutions of type rm for a class of singular equations by Abdullah Altin

“…We obtain all solutions of radial type for a class of singular partial differential equations of even order. The essential operators here are elliptic or ultrahyperbolic.…”
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On the Differential Operators with Periodic Matrix Coefficients by O. A. Veliev

“…We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and quasiperiodic boundary conditions. …”
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Hopf bifurcation on one of tumor models by Algis Kavaliauskas

“…The model is described by the system of second order differential equations. The region of parameters is determined where the Hopf bifurcation of the stationary zero point is possible. …”
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Numerical Solution of Weakly Singular Integrodifferential Equations on Closed Smooth Contour in Lebesgue Spaces by Feras M. Al Faqih

“…The present paper deals with the justification of solvability conditions and properties of solutions for weakly singular integro-differential equations by collocation and mechanical quadrature methods. …”
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