Boundary Value Problems - Latest Articles
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The latest research articles published by Boundary Value Problems2015-05-28T12:00:00Z Nonplanar periodic solutions for spatial restricted 3-body and 4-body problems In this paper, by using variational methods, we study the existence of nonplanar periodic solutions for the following spatial restricted 3-body and 4-body problems: for
N
=
2
or
3
, N mass points with positive masses
m
1
,
…
,
m
N
move in a central configuration (for
N
=
2
, two bodies are in a Euler configuration; for
N
=
3
, three bodies are in a Lagrange configuration), and they move in the plane of N circular obits; the
N
+
1
th mass point, called the zero mass point, moves on the perpendicular axis passing through the center of the masses.MSC: 34C15, 34C25, 58E30.
http://www.boundaryvalueproblems.com/content/2015/1/85
Xiaoxiao ZhaoShiqing ZhangBoundary Value Problems 2015, null:852015-05-28T12:00:00Zdoi:10.1186/s13661-015-0345-1/content/figures/s13661-015-0345-1-toc.gifBoundary Value Problems1687-2770${item.volume}852015-05-28T12:00:00ZXML Positive solutions of singular beam equations with the bending term Using a new technique for dealing with the bending term of beam equations, we consider the existence and multiplicity of positive solutions for a beam equation. Besides achieving new results, upper and lower bounds for these positive solutions will also be provided. The results are shown by using a novel technique and fixed point theories.
http://www.boundaryvalueproblems.com/content/2015/1/84
Xuemei ZhangMeiqiang FengBoundary Value Problems 2015, null:842015-05-26T12:00:00Zdoi:10.1186/s13661-015-0348-y/content/figures/s13661-015-0348-y-toc.gifBoundary Value Problems1687-2770${item.volume}842015-05-26T12:00:00ZXML New fractional-order multivalued problems with nonlocal nonlinear flux type integral boundary conditions In this paper, we study new fractional-order multivalued problems supplemented with nonlocal nonlinear flux type integral boundary conditions. Some existence results are obtained for convex as well as non-convex multivalued maps by applying standard fixed point theorems for such maps. We also discuss examples for the illustration of our results.MSC: 34A60, 34A08, 34B15.
http://www.boundaryvalueproblems.com/content/2015/1/83
Bashir AhmadSotiris NtouyasAhmed AlsaediFaris AlzahraniBoundary Value Problems 2015, null:832015-05-26T00:00:00Zdoi:10.1186/s13661-015-0346-0/content/figures/s13661-015-0346-0-toc.gifBoundary Value Problems1687-2770${item.volume}832015-05-26T00:00:00ZXML A variational approach of Sturm-Liouville problems with the nonlinearity depending on the derivative In this paper, we are concerned with the existence of positive classical solutions for a class of second-order differential equations with the nonlinearity dependent on the derivative. We also provide a range of the parameter in order to obtain the existence of multiple solutions. The approach is based on variational methods. An example illustrates the abstract results of this paper.MSC: 34B15, 35B38, 58E05.
http://www.boundaryvalueproblems.com/content/2015/1/81
Ghasem AfrouziArmin HadjianVicen¿iu R¿dulescuBoundary Value Problems 2015, null:812015-05-20T12:00:00Zdoi:10.1186/s13661-015-0342-4/content/figures/s13661-015-0342-4-toc.gifBoundary Value Problems1687-2770${item.volume}812015-05-20T12:00:00ZXML Erratum to: Periodic solution of second-order impulsive delay differential system via generalized mountain pass theorem No description available
http://www.boundaryvalueproblems.com/content/2015/1/80
Dezhu ChenBinxiang DaiBoundary Value Problems 2015, null:802015-05-16T12:00:00Zdoi:10.1186/s13661-015-0339-z/content/figures/s13661-015-0339-z-toc.gifBoundary Value Problems1687-2770${item.volume}802015-05-16T12:00:00ZXML Self-adjoint higher order differential operators with eigenvalue parameter dependent boundary conditions Eigenvalue problems for even order regular quasi-differential equations with boundary conditions which depend linearly on the eigenvalue parameter λ can be represented by an operator polynomial
L
(
λ
)
=
λ
2
M
−
i
λ
K
−
A
, where M is a self-adjoint operator. Necessary and sufficient conditions are given such that also K and A are self-adjoint.MSC: 34B07, 34L99.
http://www.boundaryvalueproblems.com/content/2015/1/79
Manfred MöllerBertin ZinsouBoundary Value Problems 2015, null:792015-05-16T12:00:00Zdoi:10.1186/s13661-015-0341-5/content/figures/s13661-015-0341-5-toc.gifBoundary Value Problems1687-2770${item.volume}792015-05-16T12:00:00ZXML MHD mixed convection slip flow near a stagnation-point on a nonlinearly vertical stretching sheet The problem of magnetohydrodynamic (MHD) mixed convection flow near a stagnation-point region over a nonlinear stretching sheet with velocity slip and prescribed surface heat flux is investigated; this has not been studied before. Using a similarity transformation, the governing equations are transformed into a system of ordinary differential equations, and then are solved by employing a homotopy analysis method. The effects of the nonlinearity parameter, the magnetic field, mixed convection, suction/injection, and the boundary slip on the velocity and temperature profile are analyzed and discussed. The results reveal that the increasing exponent of the power-law stretching velocity increases the heat transfer rate at the surface. It is also found that the velocity slip and magnetic field increase the heat transfer rate when the free stream velocity exceeds the stretching velocity, i.e.
ε
<
1
, and they suppress the heat transfer rate for
ε
>
1
.
http://www.boundaryvalueproblems.com/content/2015/1/78
Ming ShenFei WangHui ChenBoundary Value Problems 2015, null:782015-05-14T12:00:00Zdoi:10.1186/s13661-015-0340-6/content/figures/s13661-015-0340-6-toc.gifBoundary Value Problems1687-2770${item.volume}782015-05-14T12:00:00ZXML A new conservative nonlinear high-order compact finite difference scheme for the general Rosenau-RLW equation In this paper, a new conservative high-order compact finite difference scheme is studied for the initial-boundary value problem of the generalized Rosenau-regularized long wave equation. We design new conservative nonlinear fourth-order compact finite difference schemes. It is proved by the discrete energy method that the compact scheme is uniquely solvable; we have the energy conservation and the mass conservation for this approach in discrete Sobolev spaces. The convergence and stability of the difference schemes are obtained, and its numerical convergence order is
O
(
τ
2
+
h
4
)
in the
L
∞
-norm. Furthermore, numerical results are given to support the theoretical analysis. Numerical experiment results show that the theory is accurate and the method is efficient and reliable.
http://www.boundaryvalueproblems.com/content/2015/1/77
Huan WangJue WangShuguang LiBoundary Value Problems 2015, null:772015-05-08T00:00:00Zdoi:10.1186/s13661-015-0336-2/content/figures/s13661-015-0336-2-toc.gifBoundary Value Problems1687-2770${item.volume}772015-05-08T00:00:00ZXML Existence of two positive solutions for a class of second order impulsive singular integro-differential equations on the half line In this paper, the author discusses the existence of two positive solutions for an infinite boundary value problem of second order impulsive singular integro-differential equations on the half line by means of the fixed point theorem of cone expansion and compression with norm type.MSC: 45J05, 47H10.
http://www.boundaryvalueproblems.com/content/2015/1/76
Dajun GuoBoundary Value Problems 2015, null:762015-05-06T12:00:00Zdoi:10.1186/s13661-015-0337-1/content/figures/s13661-015-0337-1-toc.gifBoundary Value Problems1687-2770${item.volume}762015-05-06T12:00:00ZXML Effects of radiation on MHD free convection of a Casson fluid from a horizontal circular cylinder with partial slip in non-Darcy porous medium with viscous dissipation In the present study, the effects of radiation on MHD free convection from a cylinder with partial slip in a Casson fluid in non-Darcy porous medium is investigated. The surface of the cylinder is heated under constant surface temperature with partial slip. Partial slip factors are considered on the surface for both velocity and temperature. The boundary layer equations are normalized into a system of non-similar partial differential equations and are then solved using a bi-variate quasilinearization method (BQLM). The boundary layer velocity and temperature profiles are computed for different values of the physical parameters. Increasing the Forchheimer parameter decreases the temperature profiles. The decrease of the velocity profiles with the increase in magnetic parameter is more enhanced in the presence of the velocity slip factor. Increasing the Eckert number increases the temperature profiles in both suction and blowing cases. This study considers the unique problem of the effect of transpiration in a Casson fluid in the presence of radiation, a magnetic field, and viscous dissipation. The results obtained in this study are compared with other numerical methods and were found to be in excellent agreement.
http://www.boundaryvalueproblems.com/content/2015/1/75
Gilbert MakandaSachin ShawPrecious SibandaBoundary Value Problems 2015, null:752015-05-06T12:00:00Zdoi:10.1186/s13661-015-0333-5/content/figures/s13661-015-0333-5-toc.gifBoundary Value Problems1687-2770${item.volume}752015-05-06T12:00:00ZXML