Results 61 to 70 of about 930 (158)
Differential operators on equivariant vector bundles over symmetric spaces
Electronic Journal of Differential Equations, 2000 Generalizing the algebra of motion-invariant differential operators on a symmetric space we study invariant operators on equivariant vector bundles.
Anton Deitmar
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Finite Difference Method for Solving Partial Integro-Differential Equations
پژوهشهای ریاضی, 2020 Introduction In this paper, we have introduced a new method for solving a class of the partial integro-differential equation with the singular kernel by using the finite difference method.
Majid Erfanian, Hamed Zeidabadi
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Two-dimensional dynamical system associated with Abel’s nonlinear differential equation
Journal of Mathematical Physics, 1992 A two-dimensional dynamical system is proposed that is described by a pair of nonlinear ordinary differential equations(ODEs) with a complex parameter. It reduces to Abel’s nonlinear ODE of the first kind by an appropriate transformation. Using this fact the properties of solutions are investigated in detail with the aid of numerical computations.
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Transformation Method for Generating Periodic Solutions of Abel’s Differential Equation
Advances in Mathematical Physics, 2019 This paper deals with Abel’s differential equation. We suppose that r=r(t) is a periodic particular solution of Abel’s differential equation and, then, by means of the transformation method and the fixed point theory, present an alternative method of generating the other periodic solutions of Abel’s differential equation.
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The center problem and composition condition for Abel differential equations
Expositiones Mathematicae, 2016 The classical Poincaré center-focus problem for planar polynomial systems of ordinary differential equations can be transformed, in certain particular cases, to the center problem of a trigonometric Abel differential equation. Several research papers focused on the study of the center problem for trigonometric Abel differential equations.
Giné, Jaume +2 more
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Limit cycles for $Z_{2n}$-equivariant systems without infinite equilibria
Electronic Journal of Differential Equations, 2016 We analyze the dynamics of a class of $\mathbb{Z}_{2n}$-equivariant differential equations of the form $\dot{z}=pz^{n-1}\bar{z}^{n-2}+sz^{n}\bar{z}^{n-1}-\bar{z}^{2n-1}$, where z is complex, the time t is real, while p and s are complex parameters ...
Isabel S. Labouriau, Adrian C. Murza
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The Integrating Factors for Riccati and Abel Differential Equations
Journal of Mathematics Research, 2015 We can recast the Riccati and Abel differential equationsinto new forms in terms of introduced integrating factors.Therefore, the Lie-type systems endowing with transformation Lie-groups$SL(2,{\mathbb R})$ can be obtained.The solution of second-order linearhomogeneous differential equation is an integrating factorof the corresponding Riccati ...
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Traveling-Wave Solutions of Several Nonlinear Mathematical Physics Equations
MathematicsThis paper deals with several nonlinear partial differential equations (PDEs) of mathematical physics such as the concatenation model (perturbed concatenation model) from nonlinear fiber optics, the plane hydrodynamic jet theory, the Kadomtsev ...
Petar Popivanov, Angela Slavova
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پژوهشهای ریاضی, 2020 Introduction Fractional Differential Calculus (FDC) began in the 17th century and its initial discussions were related to the works of Leibniz, Lagrange, Abel and others.
Sedighe Sharifian +2 more
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Periodic solutions of polynomial non-autonomous differential equations
Electronic Journal of Differential Equations, 2005 We present some results on the number of periodic solutions for scalar non-autonomous polynomial equations of degree five. We also consider a class of polynomial equations of any degree. Our results give upper bounds for the number of limit cycles of two-
Mohamad A. M. Alwash
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