Found 2099 results, showing the newest relevant preprints. Sort by relevancy only.Update me on new preprints

Observation of vector solitary waves in soft laminates using a finite volume method

Such waves are governed by nonlinear coupled differential equations whose analytical solution is seldom trackable, hence emerges the need for suitable numerical solvers. Expand abstract.
3 days ago
4/10 relevant
engrXiv

Pursuit Game for an Infinite System of First-Order Differential Equations with Negative Coefficients

In this paper we study a linear pursuit differential game described by an infinite system of first-order differential equations in Hilbert space. Expand abstract.
3 days ago
10/10 relevant
arXiv

Convergence of delay equations driven by a H\"older continuous function of order $\beta\in(\frac13,\frac12)$

In this note we show that, when the delay goes to zero, the solution of multidimensional delay differential equations driven by a H\"older continuous function of order $\beta \in (\frac13,\frac12)$ converges with the supremum norm to the solution for the equation without delay. Expand abstract.
3 days ago
5/10 relevant
arXiv

Equilibrium and sensitivity analysis of a spatio-temporal host-vector epidemic model

The behavior of this model based on a system of partial differential equations is complementarily characterized via a theoretical study of its equilibrium states and a numerical study of its transitive phase using global sensitivity analysis. Expand abstract.
3 days ago
4/10 relevant
arXiv

On the tridiagonalization of systems of coupled linear differential equations

Under what conditions can one tridiagonalize a system of coupled linear differential equations with non-constant coefficients by appealing only to `well-behaved' distributions? Expand abstract.
4 days ago
10/10 relevant
arXiv

Strong solutions of stochastic differential equations with coefficients in mixed-norm spaces

By studying parabolic equations in mixed-norm spaces, we prove the existence and uniqueness of strong solutions to stochastic differential equations driven by Brownian motion with coefficients in spaces with mixed-norm, which extends Krylov and R\"ockner's result in [11] and Zhang's result in [18]. Expand abstract.
4 days ago
10/10 relevant
arXiv

Singular Initial Value Problems for Scalar Quasi-Linear Ordinary Differential Equations

We discuss existence, non-uniqueness and regularity of one- and two-sided solutions of initial value problems for scalar quasi-linear ordinary differential equations where the initial condition corresponds to an impasse point of the equation. Expand abstract.
5 days ago
10/10 relevant
arXiv

Optimally weighted loss functions for solving PDEs with Neural Networks

The proposed methods are compared numerically to the original methods on a variety of model partial differential equations, with the number of data points being updated adaptively. Expand abstract.
7 days ago
7/10 relevant
arXiv

On the asymptotic behavior of solutions to time-fractional elliptic equations driven a multiplicative white noise

By combining the eigenfunction expansion method for symmetry elliptic operators, the variation of constant formula for strong solutions to scalar stochastic fractional differential equations, Ito's formula and establishing a new weighted norm associated with a Lyapunov-Perron operator defined from this representation... Expand abstract.
7 days ago
4/10 relevant
arXiv

An invariant subbundle of the KZ connection mod $p$ and reducibility of $\hat{sl}_2$ Verma modules mod $p$

We consider the KZ differential equations over $\mathbb C$ in the case, when its multidimensional hypergeometric solutions are one-dimensional integrals. Expand abstract.
8 days ago
7/10 relevant
arXiv