We consider the boundedness solutions of a certain fourth-order nonlinear and nonhomogeneous differential equation. prove that this equation are bounded byCauchy formula

We derive sharp partial regularity criteria of nonlinear potential theoretic nature for the Lebesgue-Serrin-Marcellini extension nonhomogeneous singular multiple integrals featuring (p,q)-growth conditions.

In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in...

The goal of branch length estimation in phylogenetic inference is to estimate the divergence time between a set of sequences based on compositional differences between them. A number of software is currently available facilitating branch lengths estimation for homogeneous and stationary evolutionary models. Homogeneity of the evolutionary process imposes fixed rates of evolution throughout the ...

Large deviation results are given for a class of perturbed nonhomogeneous Markov chains on finite state space which formally includes some stochastic optimization algorithms. Specifically, let {Pn} be a sequence of transition matrices on a finite state space which converge to a limit transition matrix P . Let {Xn} be the associated nonhomogeneous Markov chain where Pn controls movement from tim...

Being equipped with a millimeter-wave radar allows a low-flying helicopter to sense the surroundings in real time, which significantly increases its safety. However, nonhomogeneous clutter environments, such as a multiple target situation and a clutter edge environment, can dramatically affect the radar signal detection performance. In order to improve the radar signal detection performance in ...

This study compares prices offered by multiple Internet retailers. This task is challenging because e-tailers cannot present their entire assortments to each consumer. Therefore, the quality of the product assortments presented by different e-tailers to each consumer is not directly comparable on an item-by-item basis, resulting in nonhomogeneous offerings across retailers. We further consider ...

We study a nonlocal parabolic equation with an irregular kernel coefficient to establish higher Hölder regularity under appropriate integrablilty on the nonhomogeneous terms and minimal assumption coefficient.