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

“…An application to boundary value problems is given as well.…”
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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. …”
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On the spectrum of the negative Laplacian for general doubly-connected bounded domains by E. M. E. Zayed, A. I. Younis

“…Moreover, asymptotic expressions for the difference of eigenvalues related to impedance boundary value problems with different impedances are derived. …”
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A mathematical analysis of thermal explosions by Kazuaki Taira

“…This paper is devoted to the study of semilinear degenerate elliptic boundary value problems arising in combustion theory which obey the simple Arrhenius rate law and a general Newton law of heat exchange. …”
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The dirichlet boundary conditions and related natural boundary conditions in strengthened sobolev spaces for discretized parabolic problems by E. D'Yakonov

“…Correctness of initial boundary value problems and their discretizations are analyzed under unusual second-order boundary conditions, which can be considered as natural boundary conditions in strengthened Sobolev spaces and as improvements (in some cases) of the classical Dirichlet boundary conditions. …”
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