Results 21 to 30 of about 2,012,091 (336)
Asymptotic Behavior of Solutions of Integral Equations with Homogeneous Kernels
Mathematics, 2022 The multidimensional integral equation of second kind with a homogeneous of degree (−n) kernel is considered. The special class of continuous functions with a given asymptotic behavior in the neighborhood of zero is defined.
Oleg Avsyankin
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Oscillation for a Class of Fractional Differential Equation
Discrete Dynamics in Nature and Society, 2013 We consider the oscillation for a class of fractional differential equation [r(t)g(D-αy)(t)]'-p(t)f∫t∞(s-t)-αy(s)ds=0, for t>0, where ...
Zhenlai Han +3 more
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A class of higher-dimensional solutions of Einstein’s vacuum equation
European Physical Journal C: Particles and Fields, 2019 A new class of higher-dimensional exact solutions of Einstein’s vacuum equation is presented. These metrics are written in terms of the exponential of a symmetric matrix and when this matrix is diagonal the solution reduces to higher-dimensional ...
Gabriel Luz Almeida, Carlos Batista
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A class of fourth-order parabolic equation with logarithmic nonlinearity
Journal of Inequalities and Applications, 2018 In this paper, we study a class of fourth-order parabolic equation with the logarithmic nonlinearity. By using the potential well method, we obtain the existence of the unique global weak solution. In addition, we also obtain results of decay and blow-up
Pingping Li, Changchun Liu
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A note on the Hyper--CR equation, and gauged $N=2$ supergravity [PDF]
, 2018 We construct a new class of solutions to the dispersionless hyper--CR equation, and show how any solution to this equation gives rise to a supersymmetric Einstein--Maxwell cosmological space--time in $(3+1)$--dimensions.Comment: 5 ...
Dunajski, Maciej +2 more
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Class of solutions of the Wheeler-DeWitt equation with ordering parameter
Physics Letters B, 2020 In this letter, we discuss the Wheeler-DeWitt equation with an ordering parameter in the Friedmann-Robertson-Walker universe. The solutions when the universe was very small and at the end of the expansion are obtained in terms of Bessel and Heun ...
H.S. Vieira +4 more
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Criteria for Oscillation of Half-Linear Functional Differential Equations of Second-Order
Axioms, 2022 The present article aims to establish more effective criteria for testing the oscillation of a class of functional differential equations with delay arguments.
Barakah Almarri, Osama Moaaz, Ali Muhib
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Multiple Breathers on a Vortex Filament [PDF]
, 2014 In this paper we investigate the correspondence between the Da Rios-Betchov equation, which appears in the three-dimensional motion of a vortex filament, and the nonlinear Schrödinger equation.
Akhmediev +12 more
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A class of curvature type equation
Pure and Applied Mathematics Quarterly, 2021 In this paper, we study the solvability of a general class of fully nonlinear curvature equations, which can be viewed as generalizations of the equations for Christoffel-Minkowski problem in convex geometry. We will also study the Dirichlet problem of the corresponding degenerate equations as an extension of the equations studied by Krylov.
Guan, Pengfei, Zhang, Xiangwen
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Moving boundary problems for a novel extended mKdV equation. Application of Ermakov-Painlevé II symmetry reduction [PDF]
Open Communications in Nonlinear Mathematical PhysicsA novel extension of the canonical solitonic mKdV equation is introduced which admits hybrid Ermakov-Painlevé II symmetry reduction. Application of the latter is made to obtain exact solution of Airy-type to a class of moving boundary problems of Stefan ...
Colin Rogers, Adriana C. Briozzo
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