Results 11 to 20 of about 137,065 (288)

Bounded solutions for a class of Hamiltonian systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
We obtain solutions bounded for all $t \in (-\infty,\infty)$ of systems of ordinary differential equations as limits of the solutions of the corresponding Dirichlet problems on $(-L,L)$, with $L \to \infty$.
Philip Korman, Guanying Peng
doaj   +3 more sources

Dirichlet and Neumann Boundary Value Problems for the Polyharmonic Equation in the Unit Ball

open access: yesMathematics, 2021
In the previous author’s works, a representation of the solution of the Dirichlet boundary value problem for the biharmonic equation in terms of Green’s function is found, and then it is shown that this representation for a ball can be written in the ...
Valery Karachik
doaj   +1 more source

Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms

open access: yesAdvanced Nonlinear Studies, 2020
In this paper, dedicated to Laurent Veron, we prove that the Strong Maximum Principle holds for solutions of some quasilinear elliptic equations having lower order terms with quadratic growth with respect to the gradient of the solution.
Boccardo Lucio, Orsina Luigi
doaj   +1 more source

The supervised hierarchical Dirichlet process [PDF]

open access: yes, 2014
We propose the supervised hierarchical Dirichlet process (sHDP), a nonparametric generative model for the joint distribution of a group of observations and a response variable directly associated with that whole group.
Dai, Andrew M., Storkey, Amos J.
core   +1 more source

Multiple positive solutions for singular anisotropic Dirichlet problems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
We consider a nonlinear Dirichlet problem driven by the variable exponent (anisotropic) $p$-Laplacian and a reaction that has the competing effects of a singular term and of a superlinear perturbation. There is no parameter in the equation (nonparametric
Zhenhai Liu, Nikolaos Papageorgiou
doaj   +1 more source

Optimization methods for Dirichlet control problems [PDF]

open access: yes, 2018
This work was partially supported by the Spanish Ministerio de Ciencia e Innovacion [project number MTM2014-57531-P] and [project number MTM2017-83185-P]
Mateos Alberdi, Mariano José
core   +2 more sources

Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations [PDF]

open access: yes, 2015
We consider three problems for the Helmholtz equation in interior and exterior domains in R^d (d=2,3): the exterior Dirichlet-to-Neumann and Neumann-to-Dirichlet problems for outgoing solutions, and the interior impedance problem.
Baskin, Dean   +2 more
core   +3 more sources

Three spectra problem for Stieltjes string equation and Neumann conditions

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2019
Spectral problems are considered which appear in description of small transversal vibrations of Stieltjes strings. It is shown that the eigenvalues of the Neumann-Neumann problem, i.e.
Anastasia Dudko, Vyacheslav Pivovarchik
doaj   +1 more source

Positive solutions for a class of singular elliptic system

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
In this paper, we mainly study the existence, boundary behavior and uniqueness of solutions for the following singular elliptic systems involving weights $-\triangle u =w(x)u^{-p}v^{-q}, -\triangle v =\lambda(x)u^{-r}v^{-s}, u>0, v>0, \ x\in \Omega, \
Ling Mi
doaj   +1 more source

On Ambarzumian type theorems for tree domains [PDF]

open access: yesOpuscula Mathematica, 2022
It is known that the spectrum of the spectral Sturm-Liouville problem on an equilateral tree with (generalized) Neumann's conditions at all vertices uniquely determines the potentials on the edges in the unperturbed case, i.e. case of the zero potentials
Vyacheslav Pivovarchik
doaj   +1 more source

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