Results 11 to 20 of about 30,405 (240)
Existence of traveling waves in a delayed convecting shallow water fluid model
This paper investigates a delayed shallow water fluid model that has not been studied in previous literature. Applying geometric singular perturbation theory, we prove the existence of traveling wave solutions for the model with a nonlocal weak delay ...
Minzhi Wei
doaj +1 more source
Generalized lower characteristic involving measures of non-strict singularity
This work establishes a connection between the class of generalized lower characteristic operators and [⋅]a{\left[\cdot ]}_{a} acting on a Banach space involving measures of non-strict singularity.
Baraket Sami +2 more
doaj +1 more source
Fredholm representation of multiparameter Gaussian processes with applications to equivalence in law and series expansions [PDF]
We show that every multiparameter Gaussian process with integrable variance function admits a Wiener integral representation of Fredholm type with respect to the Brownian sheet.
Sottinen, Tommi, Viitasaari, Lauri
core +2 more sources
Nonlinear PDEs for gap probabilities in random matrices and KP theory [PDF]
Airy and Pearcey-like kernels and generalizations arising in random matrix theory are expressed as double integrals of ratios of exponentials, possibly multiplied with a rational function. In this work it is shown that such kernels are intimately related
Adler +40 more
core +4 more sources
In this paper, the existence of mild solution and controllability of fractional semilinear mixed Volterra–Fredholm integro differential equations of order ...
Sadam Hussain +3 more
doaj +1 more source
Fredholm-Lagrangian-Grassmannian and the Maslov index [PDF]
We explain the topology of the space, so called, Fredholm-Lagrangian-Grassmannain and the quantity ``Maslov index'' for paths in this space based on the standard theory of Functional Analysis.
Arnold +29 more
core +1 more source
A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application
We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques.
Limian Zhao, Shanhe Wu, Wu-Sheng Wang
doaj +1 more source
Bifurcation Results for a Class of Perturbed Fredholm Maps
We prove a global bifurcation result for an equation of the type Lx+λ(h(x)+k(x))=0, where L:E  →  F is a linear Fredholm operator of index zero between Banach spaces, and, given an open subset Ω of E, h,k:Ω×[0,+∞)
Alessandro Calamai, Pierluigi Benevieri
doaj +2 more sources
Functional equations and separation of variables for exact g-function
The g-function is a measure of degrees of freedom associated to a boundary of two-dimensional quantum field theories. In integrable theories, it can be computed exactly in a form of the Fredholm determinant, but it is often hard to evaluate numerically ...
João Caetano, Shota Komatsu
doaj +1 more source
Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales
We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions.
Yazhou Tian, A. A. El-Deeb, Fanwei Meng
doaj +1 more source

