Investigation of Aerodynamic Characteristics of Aircrafts in a Rarefied Gas Flow Using the Moment Method by Auzhan Sakabekov, Saltanat Madaliyeva, Ryskul Yergazina

“…We state the initial and boundary value problem for the moment system of equations in the third approximation under macroscopic boundary conditions. …”
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Passive damping of bending vibrations of a beam near its resonance frequencies using piezoeffect by V. N. Sidorov, N. N. Rogacheva, Yu. G. Zheglova

“…By changing the electrical conditions on the electrodes, we change the boundary value problem. The spectrum of natural frequencies of the boundary value problem for a structure with short-circuited electrodes differs from the spectrum of natural frequencies of the boundary value problem for the same structure with disconnected electrodes. …”
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A Result on the Existence and Uniqueness of Stationary Solutions for a Bioconvective Flow Model by Aníbal Coronel, Luis Friz, Ian Hess, Alex Tello

“…In this note, we prove the existence and uniqueness of weak solutions for the boundary value problem modelling the stationary case of the bioconvective flow problem. …”
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Global Well-Posedness for a Class of Kirchhoff-Type Wave System by Xiaoli Jiang, Xiaofeng Wang

“…In recent years, the small initial boundary value problem of the Kirchhoff-type wave system attracts many scholars’ attention. …”
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S-Shaped Connected Component for Nonlinear Fourth-Order Problem of Elastic Beam Equation by Jinxiang Wang, Ruyun Ma, Jin Wen

“…We investigate the existence of S-shaped connected component in the set of positive solutions of the fourth-order boundary value problem: u′′′′x=λhxfux, x∈(0,1),u(0)=u(1)=u′′0=u′′1=0, where λ>0 is a parameter, h∈C[0,1], and f∈C[0,∞) with f0≔lims→0⁡(f(s)/s)=∞. …”
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Local exact controllability of the diffusion equation in one dimension by Marius Beceanu

“…This paper establishes the local exact null controllability of the diffusion equation in one dimension using distributed controls in the case of the Dirichlet boundary value problem. Most of the techniques used in the course of the proof are borrowed from Barbu (2002).…”
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Existence of solutions for a class of BVPs on the half-line by Souad Ayadi, Ozgur Ege

“…In this paper, we establish sufficient conditions to guarantee some existence results of nontrivial solutions for a class of nonlinear boundary value problem posed on an unbounded interval of ℝH1(0,∞)Cl,p ( [0,+∞))…”
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Some Existence Results of Positive Solutions for φ-Laplacian Systems by Xianghui Xu, Yong-Hoon Lee

“…We study the existence of positive solutions for the homogeneous Dirichlet boundary value problem of φ-Laplacian systems with a singular weight which may not be in L1.…”
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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.…”
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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. …”
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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. …”
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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.…”
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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. …”
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Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms by Yaojun Ye

“…The initial-boundary value problem for a class of nonlinear wave equations system in bounded domain is studied. …”
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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.…”
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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. …”
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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. …”
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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. …”
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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 . …”
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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.…”
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