Results 31 to 40 of about 1,822,413 (315)

Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator [PDF]

, 2009
A systematic construction of the Green's matrix for a second order, self-adjoint matrix differential operator from the linearly independent solutions of the corresponding homogeneous differential equation set is carried out.
Bayram Tekin, Bhagat B, Bhagat B, Cole R H, Courant R, Dunne V D, Jodar L, Naimark M A, Reid W T, Tahsin Çağrı Şişman, Thornburg H, Zhuravlev M Ye, Şişman T Ç Tekin B   +12 more
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Ordinary Differential Equations [PDF]

, 2021
AbstractIn this chapter, we discuss a first application of the time derivative operator constructed in the previous chapter. More precisely, we analyse well-posedness of ordinary differential equations and will at the same time provide a Hilbert space proof of the classical Picard–Lindelöf theorem (There are different notions for this theorem.
Christian Seifert, Sascha Trostorff, Marcus Waurick   +2 more
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On the Oscillation of the Generalized Food-Limited Equations with Delay

Aceh International Journal of Science and Technology, 2012
The objective of the paper is to find conditions for the oscillation of the food-limited equation. We established conditions for the oscillation of all solutions of the generalized foodlimited equation by transforming the equation to a non-linear delay ...
Bamaina M. Muhammad, Yusuf Haruna, Bala M. Abdulhamid   +2 more
doaj   +3 more sources

Almost Sure Stability for Multi-Dimensional Uncertain Differential Equations

Mathematics, 2022
Multi-dimensional uncertain differential equation is a tool to model an uncertain multi-dimensional dynamic system. Furthermore, stability has a significant role in the field of differential equations because it can be describe the effect of the initial ...
Rong Gao
doaj   +1 more source

On a complex differential Riccati equation [PDF]

, 2007
We consider a nonlinear partial differential equation for complex-valued functions which is related to the two-dimensional stationary Schrodinger equation and enjoys many properties similar to those of the ordinary differential Riccati equation as, e.g.,
Bernstein S, Bernstein S, Bers L, Bogdanov Y, Davis H, De Schepper N Peña D Brackx F, Hille E, Kamke E, Kira V Khmelnytskaya, Kravchenko V G, Kravchenko V G, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Marchenko V, Matveev V, Mielnik B, Mielnik B, Novikov S P, Reid W, Samsonov B F, Tutschke W, Vekua I N, Vekua I N, Vladislav V Kravchenko, Watson G A   +28 more
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Hyperbolic function solutions of time-fractional Kadomtsev-Petviashvili equation with variable-coefficients

AIMS Mathematics, 2022
Based on the variable separation method, the Kadomtsev-Petviashvili equation is transformed into a system of equations, in which one is a fractional ordinary differential equation with respect to time variable t, and the other is an integer order ...
Cheng Chen
doaj   +1 more source

Gravitating fluids with Lie symmetries

, 2010
We analyse the underlying nonlinear partial differential equation which arises in the study of gravitating flat fluid plates of embedding class one. Our interest in this equation lies in discussing new solutions that can be found by means of Lie point ...
A M Msomi, Bluman G W, Dimas S, Hereman W, K S Govinder, Lobo F S N, Olver P J, S D Maharaj, Thirukkanesh S, Wolfram S   +9 more
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Linearisation of a second-order nonlinear ordinary differential equation

Acta Polytechnica, 2023
We analyse nonlinear second-order differential equations in terms of algebraic properties by reducing a nonlinear partial differential equation to a nonlinear second-order ordinary differential equation via the point symmetry f(v)∂v.
Adhir Maharaj, Peter G. L. Leach, Megan Govender, David P. Day   +3 more
doaj   +1 more source

Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation

, 2011
We review the generalized monopole in the five-dimensional Euclidean space. A numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi equation becomes a second order autonomous non-linear differential equation.
A. M. Polyakov, A. M. Polyakov, E. B. Bogomol’nyi, E. B. Bogomol’nyi, G. M. Murphy, Hironobu Kihara, N. H. Abel   +6 more
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Differential Equations in Fréchet Differentials Occurring in Integral Equations [PDF]

Proceedings of the National Academy of Sciences, 1945
Not ...
openaire   +2 more sources