Review
Boundary Value Problems 2017 2017:121
Published on: 21 August 2017
Articles
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Research
Global well-posedness for the 2D Cahn-Hilliard-Boussinesq and a related system on bounded domains
This paper proves the global well-posedness for the 2D Cahn-Hilliard-Boussinesq and a related system with partial viscous terms on bounded domains.
Boundary Value Problems 2017 2017:119
Published on: 18 August 2017
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Research
Boundary Value Problems 2017 2017:117
Published on: 18 August 2017
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Maximum and minimum solutions for a nonlocal p-Laplacian fractional differential system from eco-economical processes
This paper focuses on the maximum and minimum solutions for a fractional order differential system, involving a p-Laplacian operator and nonlocal boundary conditions, which arises from many complex processes such...
Boundary Value Problems 2017 2017:118
Published on: 18 August 2017
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Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval
Based on an equivalent integral equation of a new type for a class of fractional evolution equations, which is different from those obtained in the existing literature, the paper investigates a class of fracti...
Boundary Value Problems 2017 2017:120
Published on: 18 August 2017
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On the asymptotic expansion of certain plane singular integral operators
We discuss the problem of the asymptotic expansion for some operators in a general theory of pseudo-differential equations on manifolds with borders. Using the distribution theory one obtains certain explicit ...
Boundary Value Problems 2017 2017:116
Published on: 15 August 2017
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Boundary Value Problems 2017 2017:115
Published on: 14 August 2017
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Time-decay solutions of the initial-boundary value problem of rotating magnetohydrodynamic fluids
We have investigated an initial-boundary problem for the perturbation equations of rotating, incompressible, and viscous magnetohydrodynamic (MHD) fluids with zero resistivity in a horizontally periodic domain...
Boundary Value Problems 2017 2017:114
Published on: 11 August 2017
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Boundary Value Problems 2017 2017:106
Published on: 9 August 2017
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Boundary Value Problems 2017 2017:113
Published on: 9 August 2017
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Blow-up of solutions to a class of Kirchhoff equations with strong damping and nonlinear dissipation
The initial boundary value problem of a class of Kirchhoff equations with strong damping and nonlinear dissipation is considered. By modifying Vitillaro’s argument, we prove a blow-up result for solutions with...
Boundary Value Problems 2017 2017:112
Published on: 4 August 2017
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Dynamic bifurcation for the granulation convection in the solar photosphere
The main objective of this paper is to investigate the dynamic bifurcation for the granulation convection in the solar photosphere. Based on the dynamic bifurcation theory, which is established by Ma and Wang ...
Boundary Value Problems 2017 2017:110
Published on: 3 August 2017
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Study of a class of arbitrary order differential equations by a coincidence degree method
In this manuscript, we investigate some appropriate conditions which ensure the existence of at least one solution to a class of fractional order differential equations (FDEs) provided by
...Boundary Value Problems 2017 2017:111
Published on: 3 August 2017
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Existence and uniqueness of solutions for the second order periodic-integrable boundary value problem
This paper is mainly devoted to studying one kind of the second order differential equation. Under periodic-integrable boundary value condition, the existence of the solutions of this equation is discussed by ...
Boundary Value Problems 2017 2017:109
Published on: 26 July 2017
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Mountain pass and linking type sign-changing solutions for nonlinear problems involving the fractional Laplacian
In this paper we study the existence of sign-changing solutions for nonlinear problems involving the fractional Laplacian
(0.1)Boundary Value Problems 2017 2017:108
Published on: 17 July 2017
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The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws
The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws is considered. By the properties of wave curves, we observe that this system does not contain the composite wave compar...
Boundary Value Problems 2017 2017:107
Published on: 14 July 2017
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Existence of solutions to fractional boundary value problems at resonance in Hilbert spaces
We study the existence of solutions to a nonlinear fractional differential equation in Hilbert spaces associated with three-point boundary conditions at resonance
...Boundary Value Problems 2017 2017:105
Published on: 12 July 2017
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Boundary Value Problems 2017 2017:104
Published on: 12 July 2017
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Positive solutions for a system of Riemann-Liouville fractional differential equations with multi-point fractional boundary conditions
We study the existence and nonexistence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations subject to multi-point boundary conditions which contain fractional d...
Boundary Value Problems 2017 2017:102
Published on: 10 July 2017
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Pohozaev-type inequalities and their applications for elliptic equations
In this paper we derive the Pohozaev-type inequalities for p-Laplacian equations and weighted quasi-linear equations and then prove some non-existence results for the positive solutions of these equations in a...
Boundary Value Problems 2017 2017:103
Published on: 10 July 2017
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Erratum
Boundary Value Problems 2017 2017:101
Published on: 10 July 2017
The original article was published in Boundary Value Problems 2015 2015:18
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Erratum
Boundary Value Problems 2017 2017:100
Published on: 7 July 2017
The original article was published in Boundary Value Problems 2012 2012:40
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Multiple periodic solutions for second order Josephson-type differential systems
In this paper, some new existence theorems are obtained for multiple periodic solutions of second order Josephson-type differential systems with partially periodic potential by using the minimax methods in cri...
Boundary Value Problems 2017 2017:99
Published on: 5 July 2017
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Inverse spectral problems for first order integro-differential operators
Inverse spectral problems are studied for the first order integro-differential operators on a finite interval. Properties of spectral characteristic are established, and the uniqueness theorem is proved for th...
Boundary Value Problems 2017 2017:98
Published on: 30 June 2017
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A single quenching point for a fractional heat equation based on the Riemann-Liouville fractional derivative with a nonlinear concentrate source
This paper aims to study the quenching problem in a fractional heat equation with the Riemann-Liouville fractional derivative. The existence and uniqueness of a solution for the problem are obtained by transfo...
Boundary Value Problems 2017 2017:97
Published on: 29 June 2017
