DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER WITH ORTHOGONAL POLYNOMIAL SOLUTIONS
Pesquimat, 2014 In this paper we developed conditions for orthogonality of polynomial Solutions of the fourth order differential equations with polynomial coefficients.
Santiago César Rojas Romero
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Buoyancy Effects on Thermal Boundary Layer Over a Vertical Plate With a Convective Surface Boundary Condition [PDF]
, 2010 This study aims to analyze the effects of thermal buoyancy on the laminar boundary layer about a vertical plate in a uniform stream of fluid under a convective surface boundary condition.
makinde, O.D., Olanrewaju, P. O.
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Oscillation Criteria of Solutions of Fourth-Order Neutral Differential Equations
Fractal and Fractional, 2021 In this paper, we study the oscillation of solutions of fourth-order neutral delay differential equations in non-canonical form. By using Riccati transformation, we establish some new oscillation conditions.
Alanoud Almutairi +4 more
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Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations [PDF]
, 2016 The purpose of this work is to analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which includes an additional term on the sphere.
Martínez, Clotilde, Piñar, Miguel A.
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Kamenev and Philos-types oscillation criteria for fourth-order neutral differential equations
Advances in Difference Equations, 2020 This work is concerned with the oscillatory behavior of solutions of fourth-order neutral differential equations. By using the Riccati transformation and integral averaging techniques we obtain some new Kamenev-type and Philos-type oscillation criteria ...
Omar Bazighifan
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UNSTEADY MIXED CONVECTION WITH SORET AND DUFOUR EFFECTS PAST A POROUS PLATE MOVING THROUGH A BINARY MIXTURE OF CHEMICALLY REACTING FLUID [PDF]
, 2011 This study investigates the unsteady mixed convection flow past a vertical porous flat plate moving through a binary mixture in the presence of radiative heat transfer and nth-order Arrhenius type of irreversible chemical reaction by taking into ...
makinde, D.O., Olanrewaju, P. O.
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Asymptotic Properties of Linear Fourth Order Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1976 Asymptotic behavior of solutions is studied for the general fourth order linear homogeneous differential equation with bounded coefficients. It is shown that roughly the same qualitative behavior as in the constant coefficient case holds.
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On the flexoelectric deformations of finite size bodies
, 2013 Exact equations describing flexoelectric deformation in solids, derived previously within the framework of a continuum media theory, are partial differential equations of the fourth order.
Yurkov, A. S.
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Systems-disconjugacy of a fourth-order differential equations [PDF]
Proceedings of the American Mathematical Society, 1961 where r(x) >0 and p(x) are both continuous on [a, oo) and p(x) does not change sign, and related conjugate point properties to oscillation. They gave extensive evidence indicating that the oscillatory behavior when p(x) is positive is essentially different from that when p(x) is negative.
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STABILITY FOR CERTAIN FOURTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS
Demonstratio Mathematica, 1998 The authors deal with the differential equation \[ x^{(4)}+ \varphi(\ddot x)\dddot x+ f(x,\dot x)\ddot x+ g(\dot x)+ h(x)= P(t, x,\dot x,\ddot x,\dddot x).\tag{\(*\)} \] If \(P= 0\), it is proved that a zero solution to equation \((*)\) is asymptotically stable in the large under certain conditions.
Lin, Shizhong +2 more
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