Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain by J. Límaco, H. R. Clark, L. A. Medeiros

“…We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. …”
Get full text

Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order by Yang Liu, Zhang Weiguo

“…We investigate the existence of multiple positive solutions for a class of boundary value problems of nonlinear differential equation with Caputo’s fractional order derivative. …”
Get full text

Existence of Solutions for the Discrete Dirichlet Problem Involving p-Mean Curvature Operator by Jianxia Wang, Zhan Zhou

“…This work is to discuss the Dirichlet boundary value problem of the difference equation with p -mean curvature operator. …”
Get full text

A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients by Cecilia De Zan, Pierpaolo Soravia

“…We prove a comparison principle for the initial-boundary value problem whose consequence is uniqueness of continuous solutions and well- posedness of the level set method.…”
Get full text

Existence of Solutions of Fractional Differential Equation with p-Laplacian Operator at Resonance by Zhigang Hu, Wenbin Liu, Jiaying Liu

“…By using the extension of Mawhin’s continuation theorem due to Ge, we consider boundary value problems for fractional p-Laplacian equation. …”
Get full text

Modified Wiener equations by Will Watkins

“…In our case, either two initial conditions or two boundary conditions are necessary for a solution; the equation is then reduced to a boundary value problem for a higher order ODE.…”
Get full text

Conservative Difference Scheme for Generalized Rosenau-KdV Equation by Yan Luo, Youcai Xu, Minfu Feng

“…A conservative Crank-Nicolson finite difference scheme for the initial-boundary value problem of generalized Rosenau-KdV equation is proposed. …”
Get full text

Singularity Analysis for a Class of Porous Medium Equation with Time-Dependent Coefficients by Anyin Xia, Xianxiang Pu, Shan Li

“…Furthermore, we investigate the blow-up solution to the boundary value problem. The upper and lower estimates to the lifespan of the singular solution are also obtained here.…”
Get full text

Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions by Murat Olgun, Turhan Koprubasi, Yelda Aygar

“…We investigate the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP) 𝑎𝑛−1𝑦𝑛−1+𝑏𝑛𝑦𝑛+𝑎𝑛𝑦𝑛+1=𝜆𝑦𝑛, 𝑛∈ℕ and (𝛾0+𝛾1𝜆)𝑦1+(𝛽0+𝛽1𝜆)𝑦0=0, where (𝑎𝑛) and (𝑏𝑛) are complex sequences, 𝜆 is an eigenparameter, and 𝛾𝑖, 𝛽𝑖∈ℂ for 𝑖=0, 1.…”
Get full text

Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions by M. J. Mardanov, Y. A. Sharifov

“…Sufficient conditions for the existence and uniqueness of the solution of boundary value problem for every fixed admissible control are obtained. …”
Get full text

An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation by Maobo Zheng, Jun Zhou

“…An average linear finite difference scheme for the numerical solution of the initial-boundary value problem of Generalized Rosenau-KdV equation is proposed. …”
Get full text

On a Partial Boundary Value Condition of a Porous Medium Equation with Exponent Variable by Huashui Zhan

“…The initial-boundary value problem of a porous medium equation with a variable exponent is considered. …”
Get full text

Existence Results for Fractional Differential Equations with Multistrip Riemann–Stieltjes Integral Boundary Conditions by Tongling Lv, Huihui Pang, Limei Cao

“…This paper is concerned with the existence and multiplicity of the positive solutions for a fractional boundary value problem with multistrip Riemann–Stieltjes integral boundary conditions. …”
Get full text

Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition by Zhong Bo Fang, Yan Chai

“…We investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. …”
Get full text

A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations by Xiangbing Zhou, Wenquan Wu, Hongjiang Ma

“…We also give an application on the existence and uniqueness of the positive solution of a multipoint boundary value problem with fractional derivatives.…”
Get full text

Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation by Nabil Merazga, Abdelfatah Bouziani

“…This paper deals with an initial boundary value problem with an integral condition for the two-dimensional diffusion equation. …”
Get full text

The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces by Hua Su

“…Our results are even new to ϕ convex and -φ concave quasi operator, and then we apply these results to the two-point boundary value problem of second-order nonlinear ordinary differential equations in the ordered Banach spaces.…”
Get full text

Some Properties of Solutions for the Sixth-Order Cahn-Hilliard-Type Equation by Zhao Wang, Changchun Liu

“…We study the initial boundary value problem for a sixth-order Cahn-Hilliard-type equation which describes the separation properties of oil-water mixtures, when a substance enforcing the mixing of the phases is added. …”
Get full text

Existence of Solutions to a Class of Semilinear Elliptic Problem with Nonlinear Singular Terms and Variable Exponent by Ying Chu, Yanchao Gao, Wenjie Gao

“…The authors of this paper prove the existence and regularity results for the homogeneous Dirichlet boundary value problem to the equation - div(M(x)∇un)=f(x)/uα(x) with f∈Lm(Ω)  (m⩾…1) and α(x)>0. …”
Get full text

A Numerical Method for the Variable-Order Time-Fractional Wave Equations Based on the H2N2 Approximation by Xiao Liu, Yu Bo, Yuanfeng Jin

“…Aiming at the initial boundary value problem of variable-order time-fractional wave equations in one-dimensional space, a numerical method using second-order central difference in space and H2N2 approximation in time is proposed. …”
Get full text