Hartman-Type and Lyapunov-Type Inequalities for a Fractional Differential Equation with Fractional Boundary Conditions by Imed Bachar, Hassan Eltayeb

“…We prove Hartman-type and Lyapunov-type inequalities for a class of Riemann–Liouville fractional boundary value problems with fractional boundary conditions. …”
Get full text

Error estimates for the finite element solutions of variational inequalities by M. Aslam Noor

“…For piecewise linear approximation of variational inequalities associated with the mildly nonlinear elliptic boundary value problems having auxiliary constraint conditions, we prove that the error estimate for u−uh in the W1,2-norm is of order h.…”
Get full text

Existence of Solutions for Fractional Differential Equations with p-Laplacian Operator and Integral Boundary Conditions by Jingli Xie, Lijing Duan

“…In this paper, we investigate a class of integral boundary value problems of fractional differential equations with a p-Laplacian operator. …”
Get full text

Results for Twin Singular Nonlinear Problems with Damping Term by Youwei Zhang

“…By using the functional type cone expansion and compression fixed-point theorem in cones, some new and general results on the existence of positive solution for twin singular boundary value problems with damping term are obtained. An example is given to illustrate our results.…”
Get full text

Zero-dispersion limit for integrable equations on the half-line with linearisable data by A. S. Fokas, S. Kamvissis

“…We study the zero-dispersion limit for certain initial boundary value problems for the defocusing nonlinear Schrödinger (NLS) equationand for the Korteweg-de Vries (KdV)equation with dominant surface tension. …”
Get full text

Comment on “Variational Iteration Method for Fractional Calculus Using He’s Polynomials” by Ji-Huan He

“…Recently Liu applied the variational homotopy perturbation method for fractional initial boundary value problems. This note concludes that the method is a modified variational iteration method using He’s polynomials. …”
Get full text

Solution of an integral equation with a logarithmic kernel by C. Sampath, D. J. Jain

“…A simple independent integral equation technique is presented to solve an integral equation with a logarithmic kernel which governs solutions of many two-dimensional Dirichlet boundary value problems involving two coplanar and parallel infinite strips. …”
Get full text

Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities by Lingling Zhang, Chengbo Zhai

“…Using a new fixed point theorem of generalized concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions to nonlinear two-point boundary value problems for second-order impulsive differential equations with concave or convex nonlinearities.…”
Get full text

Computation of displacements for nonlinear elastic beam models using monotone iterations by Philip Korman

“…We present computations, which suggest efficiency of monotone methods for fourth order boundary value problems.…”
Get full text

A Class of Fractional p-Laplacian Integrodifferential Equations in Banach Spaces by Yiliang Liu, Liang Lu

“…Some new existence results are obtained via fixed point theorems for nonlocal boundary value problems of fractional p-Laplacian equations. …”
Get full text

Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary Conditions by Qi Wang, Yanping Guo, Yude Ji

“…The associated Green's function for the fourth-order boundary value problems is first given, and the arguments are based on Krasnoselskii's fixed point theorem for operators on a cone.…”
Get full text

Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions by Xi Fu, Xiaoyou Liu

“…This paper studies the existence results for nonseparated boundary value problems of fractional differential equations with fractional impulsive conditions. …”
Get full text

Thermoelasticity without energy dissipation for initially stressed bodies by Jun Wang, Susan Palmer Slattery

“…A linear theory of thermoelasticity without energy dissipation for prestressed bodies is derived and the uniqueness theorem for a class of mixed initial-boundary value problems is established.…”
Get full text

Upper and Lower Solutions for m-Point Impulsive BVP with One-Dimensional p-Laplacian by Junfang Zhao, Jianfeng Zhao, Weigao Ge

“…Upper and lower solutions theories are established for a kind of m-point impulsive boundary value problems with p-Laplacian. By using such techniques and the Schauder fixed point theorem, the existence of solutions and positive solutions is obtained. …”
Get full text

The Exact Absorbing Conditions Method in the Analysis of Open Electrodynamic Structures: Circular and Coaxial Waveguides by Seil S. Sautbekov, Yuriy K. Sirenko, Lyudmyla G. Velychko, Alexey A. Vertiy

“…The exact absorbing conditions (EAC) have been constructed and used for truncating an unbounded domain of computation in open initial boundary value problems, which describe space-time transformations of electromagnetic waves in axially symmetrical waveguides. …”
Get full text

Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems by Qiang Zheng

“…This homoclinic solution is obtained as a limit of solutions of a certain sequence of nil-boundary value problems which are obtained by the minimax methods. …”
Get full text

Lq-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues by Vladimir Kozlov

“…We consider eigenvalues of elliptic boundary value problems, written in variational form, when the leading coefficients are perturbed by terms which are small in some integral sense. …”
Get full text

Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system by Elena Bonetti, Giovanna Bonfanti

“…We have investigated a dynamic thermoviscoelastic system (2003), establishing existence and uniqueness results for a related initial and boundary values problem. The aim of the present paper is to study the asymptotic behavior of the solution to the above problem as the power of the acceleration forces goes to zero. …”
Get full text

Fractional Sobolev Spaces via Riemann-Liouville Derivatives by Dariusz Idczak, Stanisław Walczak

“…An application to boundary value problems is given as well.…”
Get full text

External barycentric coordinates for arbitrary polygons and an approximate method for calculating them by Ivan S. Polyansky

“…In the article, the concept of external barycentric coordinates is introduced to generalize the applicability of the barycentric method in solving external boundary value and initial boundary value problems of mathematical physics. Aim of the work is to form a simple analytical relation that allows calculating barycentric coordinates external to a given arbitrary polygonal area with a given accuracy. …”
Get full text