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Existence of positive solutions for fractional differential equation with integral boundary conditions on the half-line
Springer Science and Business Media LLC - Tập 2016 - Trang 1-16 - 2016
Mei Jia, Haibin Zhang, Qiang Chen
This paper considers the existence of positive solutions for fractional-order nonlinear differential equation with integral boundary conditions on the half-infinite interval. By using the fixed point theorem in a cone, sufficient conditions for the existence of at least one or at least two positive solutions of a boundary value problem are established. These theorems also reveal the properties of ...... hiện toàn bộ
Reflection coefficient of a dominant mode in a pentafurcated duct
Springer Science and Business Media LLC - Tập 2017 Số 1 - 2017
Mahmood‐ul‐Hassan, Mahvish Naz
An efficient spectral collocation algorithm for nonlinear Phi-four equations
Springer Science and Business Media LLC - Tập 2013 Số 1 - 2013
A. H. Bhrawy, Laila M Assas, Mohammed Alghamdi
Dimensional reduction of electromagnetic boundary value problems
Springer Science and Business Media LLC - Tập 2011 - Trang 1-25 - 2011
Pasi Raumonen, Saku Suuriniemi, Lauri Kettunen
This paper develops a systematic and formal approach to dimensional reduction of electromagnetic boundary value problems. The approach is based on the concept of continuous symmetry, and the definitions and the mathematical structures used are conceptually distinct and completely coordinate-free and independent of dimensions. The approach leads to sufficient conditions for when a boundary value pr...... hiện toàn bộ
Asymptotic behavior of an odd-order delay differential equation
Springer Science and Business Media LLC - Tập 2014 - Trang 1-10 - 2014
Tongxing Li, Yuriy V Rogovchenko
We study asymptotic behavior of solutions to a class of odd-order delay differential equations. Our theorems extend and complement a number of related results reported in the literature. An illustrative example is provided. MSC:34K11.
Thermal dispersion effects on convective heat and mass transfer in an Ostwald de Waele nanofluid flow in porous media
Springer Science and Business Media LLC - Tập 2013 Số 1 - 2013
Peri K. Kameswaran, Precious Sibanda
Necessary and sufficient conditions on the existence of solutions for the exterior Dirichlet problem of Hessian equations
Springer Science and Business Media LLC - Tập 2022 - Trang 1-11 - 2022
Limei Dai, Hongfei Li
In this paper, we consider the exterior Dirichlet problem of Hessian equations $\sigma _{k}(\lambda (D^{2}u))=g(x)$ with g being a perturbation of a general positive function at infinity. By estimating the eigenvalues of the solution, we obtain the necessary and sufficient conditions of existence ...... hiện toàn bộ
General decay rate estimates for a semilinear parabolic equation with memory term and mixed boundary condition
Springer Science and Business Media LLC - Tập 2014 - Trang 1-11 - 2014
Changjun Li, Liru Qiu, Zhong Bo Fang
This work is concerned with a mixed boundary value problem for a semilinear parabolic equation with a memory term. Under suitable conditions, we prove that the energy functional decays to zero as the time tends to infinity by the method of perturbation energy, in which the usual exponential and polynomial decay results are only special cases.
Multiple positive solutions of a $(p_{1},p_{2})$ -Laplacian system with nonlinear BCs
Springer Science and Business Media LLC - Tập 2015 - Trang 1-18 - 2015
Filomena Cianciaruso, Paolamaria Pietramala
Using the theory of fixed point index, we discuss existence, non-existence, localization and multiplicity of positive solutions for a $(p_{1},p_{2})$ -Laplacian system with nonlinear Robin and/or Dirichlet type boundary conditions. We give an exam...... hiện toàn bộ
On the global existence of 3-D magneto-hydrodynamic system in the critical spaces
Springer Science and Business Media LLC - Tập 2015 - Trang 1-14 - 2015
Xiaolian Ai, Zilai Li
In this article, we prove the global existence of the three-dimensional inhomogeneous incompressible magneto-hydrodynamic system under the assumptions that the initial velocity field and the initial conductivity are small in the critical space $\dot{B}^{1/2}_{2,1...... hiện toàn bộ
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