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Some Oscillation Criteria for Delay-Differential Equations of Even Order

SIAM Journal on Applied Mathematics, 1975
The nonlinear delay-differential equation \[D^n \left[ {r( t )D^n y( t )} \right] + \sum\limits_{i = 1}^N {f_i } ( t )F_i \left[ {y_0 \left( {t - \tau _{i,0} ( t )} \right), \cdots ,y_{2n - 1} \left( {t - \tau _{i,2n - 1} ( t )} \right)} \right] = 0 \] is considered, where $y_k ( t ) = D^k y( t )$ for $k = 0, \cdots $ , $n - 1$ and $y_k ( t ) = D^{k ...
openaire   +1 more source

The Deficiency Index of Even-Order Differential Equations

Journal of the London Mathematical Society, 1982
openaire   +1 more source

DeepXDE: A Deep Learning Library for Solving Differential Equations

SIAM Review, 2021
Lu Lu, George E Karniadakis
exaly  

Oscillation of even-order advanced functional differential equations

Publicationes Mathematicae Debrecen, 2018
John R. Graef, Said R. Grace, Ercan Tunc
openaire   +1 more source

An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications

Computer Methods in Applied Mechanics and Engineering, 2020
Esteban Samaniego   +2 more
exaly  

New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race

New England Journal of Medicine, 2021
Lesley A Inker   +2 more
exaly  

ORDINARY DIFFERENTIAL EQUATIONS OF EVEN ORDER WITH INTEGRAL CONDITIONS

Доклады Российской академии наук. Математика, информатика, процессы управления / Doklady Mathematics
We consider an even-order ordinary differential operator with a spectral parameter and integral conditions. An a priori estimate of the solutions to the problem is obtained for sufficiently large values of the spectral parameter. The discreteness and the sectoral structure of the spectrum of the corresponding operators are proved.
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Continuum and Discrete Initial-Boundary Value Problems and Einstein’s Field Equations

Living Reviews in Relativity, 2012
Olivier Sarbach, Manuel Tiglio
exaly  

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