Results 271 to 280 of about 626,225 (308)

The Fourth-order Bessel–type Differential Equation

Applicable Analysis, 2004
The Bessel-type functions, structured as extensions of the classical Bessel functions, were defined by Everitt and Markett in 1994. These special functions are derived by linear combinations and limit processes from the classical orthogonal polynomials, classical Bessel functions and the Krall Jacobi-type and Laguerre-type orthogonal polynomials. These
Jyoti Das, W.N. Everitt, D.B. Hinton, L.L. Littlejohn, C. Markett   +4 more
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The Sinc-Galerkin Method for Fourth-Order Differential Equations

SIAM Journal on Numerical Analysis, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Smith, Ralph C., Bogar, Gary A., Bowers, Kenneth L., Lund, John   +3 more
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On oscilatory fourth order nonlinear neutral differential equations – IV

Mathematica Slovaca, 2018
AbstractIn this paper, oscillation of all solutions of fourth order functional differential equations of neutral type of the form$$\begin{array}{} \displaystyle (r(t)(y(t)+p(t)y(t-\tau))'')''+q(t)G(y(t-\sigma))=0 \end{array}$$are studied under the assumption$$\begin{array}{} \displaystyle \int\limits^{\infty}_{0}\frac{t}{r(t)}\text{d}t \lt \infty \end ...
Arun Kumar Tripathy, Rashmi Rekha Mohanta   +1 more
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Fourth-order differential equations for numerator polynomials

Journal of Physics A: Mathematical and General, 1988
We give explicitly the fourth-order differential equation satisfied by the numerator polynomials (associated polynomials) of the classical orthogonal polynomials. The coefficients of the differential equation are at most a quadratic combination of the polynomials \(\sigma\) and \(\tau\) (and their derivatives) defined via the relation \((\sigma \rho)'=\
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Eigenvalue problems for fourth order differential equations

Annali di Matematica Pura ed Applicata, 1977
This paper is concerned with eigenvalue problems for fourth order differential equations representable by systems of the form: $$x'' + q_{11} (t,\lambda )x + q_{12} (t,\lambda )y = 0, y'' + q_{21} (t,\lambda )x + q_{22} (t,\lambda )y = 0$$ . The boundary conditions are x(a)=y(a)=0=x(b)=y(b) or x(a)=y(a)=0=x′(a)=y′(b).
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Exact wave solutions of the fourth order non-linear partial differential equation of optical fiber pulses by using different methods

, 2021
I. Samir, N. Badra, A. Seadawy, H. Ahmed, A. Arnous   +4 more
semanticscholar   +1 more source

The Crank-Nicolson-type Sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel

, 2021
W. Qiu, Da Xu, Jing Guo
semanticscholar   +1 more source

Instability results for fourth order differential equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1980
SYNOPSISIn this paper we give sufficient conditions (Theorems 1 and 2) for the instability of the fourth order differential equation
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Homoclinic solutions for nonlinear general fourth‐order differential equations

Mathematical Methods in the Applied Sciences, 2017
This work provides sufficient conditions for the existence of homoclinic solutions of fourth‐order nonlinear ordinary differential equations. Using Green's functions, we formulate a new modified integral equation that is equivalent to the original nonlinear equation.
Hugo Carrasco, Feliz Minhós
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Asymptotic methods for fourth-order differential equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1980
SynopsisA new method is developed for obtaining the asymptotic form of solutions of the fourth-order differential equationwherem, nare integers and 1 ≦m,n≦ 2. The method gives new, shorter proofs of the well-known results of Walker in deficiency index theory and covers the cases not considered by Walker.
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