Existence of Weak Solutions for Fractional Integrodifferential Equations with Multipoint Boundary Conditions by Haide Gou, Baolin Li

“…By combining the techniques of fractional calculus with measure of weak noncompactness and fixed point theorem, we establish the existence of weak solutions of multipoint boundary value problem for fractional integrodifferential equations.…”
Get full text

Blowup of Solution for a Class of Doubly Nonlinear Parabolic Systems by Jun Lu, Qingying Hu, Hongwei Zhang

“…An initial boundary value problem for a class of doubly parabolic equations is studied. …”
Get full text

A Numerical Algorithm for a Kirchhoff-Type Nonlinear Static Beam by Jemal Peradze

“…A boundary value problem is posed for an integro-differential beam equation. …”
Get full text

Some Generalized Gronwall-Bellman Type Impulsive Integral Inequalities and Their Applications by Yuzhen Mi

“…Our result is also applied to study a boundary value problem of differential equations with impulsive terms.…”
Get full text

Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations by Yaojun Ye

“…This paper studies the existence of global solutions to the initial-boundary value problem for some nonlinear degenerate wave equations by means of compactness method and the potential well idea. …”
Get full text

Nonexistence of Global Weak Solutions of Nonlinear Keldysh Type Equation with One Derivative Term by Kangqun Zhang

“…In terms of the analysis of the first Fourier coefficient, we show the solution of singular initial value problem and singular initial-boundary value problem of the nonlinear equation with positive initial data blow-up in some finite time interval.…”
Get full text

Global Existence of the Cylindrically Symmetric Strong Solution to Compressible Navier-Stokes Equations by Jian Liu, Ruxu Lian

“…This paper is concerned with the initial boundary value problem for the three-dimensional Navier-Stokes equations with density-dependent viscosity. …”
Get full text

On the existence of classical solutions for differential-functional IBVP by Krzysztof A. Topolski

“…We consider the initial-boundary value problem for second order differential-functional equations of parabolic type. …”
Get full text

A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions by Wafa Shammakh

“…The related Green’s function for the boundary value problem is given, and some useful properties of Green’s function are obtained. …”
Get full text

Nodal Solutions of the p-Laplacian with Sign-Changing Weight by Ruyun Ma, Xilan Liu, Jia Xu

“…We are concerned with determining values of , for which there exist nodal solutions of the boundary value problem , where is a sign-changing function, with . …”
Get full text

On the Existence and Uniqueness of Rv-Generalized Solution for Dirichlet Problem with Singularity on All Boundary by V. Rukavishnikov, E. Rukavishnikova

“…The existence and uniqueness of the Rv-generalized solution for the first boundary value problem and a second order elliptic equation with coordinated and uncoordinated degeneracy of input data and with strong singularity solution on all boundary of a two-dimensional domain are established.…”
Get full text

Evolutionary equation of inertial waves in 3-D multiply connected domain with Dirichlet boundary condition by Pavel A. Krutitskii

“…We study initial-boundary value problem for an equation of composite type in 3-D multiply connected domain. …”
Get full text

A Note on First Passage Functionals for Lévy Processes with Jumps of Rational Laplace Transforms by Djilali Ait-Aoudia

“…The corresponding boundary value problem is solved to obtain an explicit formula for the first passage functional. …”
Get full text

Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition by Deniz Agirseven

“…Finite difference and homotopy analysis methods are used for the approximate solution of the initial-boundary value problem for the delay parabolic partial differential equation with the Dirichlet condition. …”
Get full text

Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations by Hanying Feng, Xiaofeng Zhang

“…In this article, we investigate a boundary value problem for a coupled differential system of fractional order that the nonlinear term depends on the unknown functions as well as their lower order fractional derivatives. …”
Get full text

Monotone Iterative Schemes for Positive Solutions of a Fractional q-Difference Equation with Integral Boundary Conditions on the Half-Line by Min Jiang, Rengang Huang

“…In this paper, we study the boundary value problem of a fractional q-difference equation with nonlocal integral boundary conditions on the half-line. …”
Get full text

The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions by Qun Gao

“…We study the existence of multiple solutions for a fourth-order nonlinear boundary value problem. We give some new criteria for guaranteeing that the fourth-order elastic beam equation with a perturbed term has at least three solutions. …”
Get full text

Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP by Xuezhe Lv, Libo Wang, Minghe Pei

“…We study the existence and monotone iteration of solutions for a third-order four-point boundary value problem. An existence result of positive, concave, and pseudosymmetric solutions and its monotone iterative scheme are established by using the monotone iterative technique. …”
Get full text

A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set by Nguyen Thanh Long, Le Thi Phuong Ngoc

“…The purpose of this paper is to show that the set of weak solutions of the initial-boundary value problem for the linear wave equation is nonempty, connected, and compact.…”
Get full text

The topological degree method for equations of the Navier-Stokes type by V. T. Dmitrienko, V. G. Zvyagin

“…We obtain results of existence of weak solutions in the Hopf sense of the initial-boundary value problem for the generalized Navier-Stokes equations containing perturbations of retarded type. …”
Get full text