New Wavelets Collocation Method for Solving Second-Order Multipoint Boundary Value Problems Using Chebyshev Polynomials of Third and Fourth Kinds by W. M. Abd-Elhameed, E. H. Doha, Y. H. Youssri

“…This paper is concerned with introducing two wavelets collocation algorithms for solving linear and nonlinear multipoint boundary value problems. The principal idea for obtaining spectral numerical solutions for such equations is employing third- and fourth-kind Chebyshev wavelets along with the spectral collocation method to transform the differential equation with its boundary conditions to a system of linear or nonlinear algebraic equations in the unknown expansion coefficients which can be efficiently solved. …”
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A method of calculation of specific conductivity tensor of a anisotropic media by Vytautas Kleiza, Jonas Kleiza

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On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference by M. G. El Sheikh, A. H. Khater, D. K. Callebaut

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Twin Positive Solutions of a Nonlinear m-Point Boundary Value Problem for Third-Order p-Laplacian Dynamic Equations on Time Scales by Wei Han, Guang Zhang

“…Several existence theorems of twin positive solutions are established for a nonlinear m-point boundary value problem of third-order p-Laplacian dynamic equations on time scales by using a fixed point theorem. …”
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General Linear Boundary Value Problem for the Second-Order Integro-Differential Loaded Equation with Boundary Conditions Containing Both Nonlocal and Global Terms by M. R. Fatemi, N. A. Aliyev

“…Here, the boundary conditions corresponding with the boundary value problem contain both nonlocal and global terms.…”
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Existence and Uniqueness Results for a Class of Singular Fractional Boundary Value Problems with the p-Laplacian Operator via the Upper and Lower Solutions Approach by KumSong Jong, HuiChol Choi, KyongJun Jang, SunAe Pak

“…In this paper, we study the existence and uniqueness of positive solutions to a class of multipoint boundary value problems for singular fractional differential equations with the p-Laplacian operator. …”
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On the numerical solution of two point boundary value problem for the Helmholtz type equation by finite difference method with non regular step length between nodes by Pramod Pandey

Subjects: “…Boundary Value Problem, Convergence of the Method, Cubic Order, Finite Difference Method, Nonuniform Step Length.…”
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Solution of the First Boundary-Value Problem for a System of Autonomous Second-Order Linear Partial Differential Equations of Parabolic Type with a Single Delay by Josef Diblík, Denis Khusainov, Oleksandra Kukharenko, Zdeněk Svoboda

“…The first boundary-value problem for an autonomous second-order system of linear partial differential equations of parabolic type with a single delay is considered. …”
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Simulation-based high-speed elongational rheometer for Carreau-type materials by Lukas Kannengießer, Walter Arne, Alexander Bier, Nicole Marheineke, Dirk W. Schubert, Raimund Wegener

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Iterative Analysis of the Unique Positive Solution for a Class of Singular Nonlinear Boundary Value Problems Involving Two Types of Fractional Derivatives with p-Laplacian Operator by Fang Wang, Lishan Liu, Yonghong Wu, Yumei Zou

“…This article is concerned with a class of singular nonlinear fractional boundary value problems with p-Laplacian operator, which contains Riemann–Liouville fractional derivative and Caputo fractional derivative. …”
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Stable difference scheme for a nonlocal boundary value heat conduction problem by Makhmud A. Sadybekov

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On two and three and four point boundary value problems for differential inclusions with <mml:math display="inline"><mml:mi>ϕ</mml:mi></mml:math>-Laplacian by Najib Askouraye, Myelkebir Aitalioubrahim

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The Existence and Uniqueness of a New Boundary Value Problem (Type of Problem “E”) for Linear System Equations of the Mixed Hyperbolic-Elliptic Type in the Multivariate Dimension with the Changing Time Direction by Mahammad A. Nurmammadov

“…The existence and uniqueness of the boundary value problem for linear systems equations of the mixed hyperbolic-elliptic type in the multivariate domain with the changing time direction are studied. …”
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Analytical solution of problem of shielding low-frequency magnetic field by thin-walled cylindrical screen in presence of cylinder by G. Ch. Shushkevich

Subjects: “…boundary value problem…”
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A wave equation with discontinuous time delay by Joseph Wiener, Lokenath Debnath

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General existence principles for nonlocal boundary value problems with <mml:math alttext="$PHI$"> <mml:mi>&#x03C6;</mml:mi> </mml:math>-laplacian and their applications

“…<p>The paper presents general existence principles which can be used for a large class of nonlocal boundary value problems of the form <mml:math alttext="$(phi(x'))'=f_1(t,x,x')+f_2(t,x,x')F_1x+f_3(t,x,x')F_2x$,$alpha(x)=0$"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mi>&#x03C6;</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:msup> <mml:mi>x</mml:mi> <mml:mo>&#x2032;</mml:mo> </mml:msup> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> <mml:mo>&#x2032;</mml:mo> </mml:msup> <mml:mo>=</mml:mo> <mml:msub> <mml:mi>f</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mi>t</mml:mi> <mml:mo>,</mml:mo> <mml:mi>x</mml:mi> <mml:mo>,</mml:mo> <mml:msup> <mml:mi>x</mml:mi> <mml:mo>&#x2032;</mml:mo> </mml:msup> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>+</mml:mo> <mml:msub> <mml:mi>f</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mi>t</mml:mi> <mml:mo>,</mml:mo> <mml:mi>x</mml:mi> <mml:mo>,</mml:mo> <mml:msup> <mml:mi>x</mml:mi> <mml:mo>&#x2032;</mml:mo> </mml:msup> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:msub> <mml:mi>F</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mi>x</mml:mi> <mml:mo>+</mml:mo> <mml:msub> <mml:mi>f</mml:mi> <mml:mn>3</mml:mn> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mi>t</mml:mi> <mml:mo>,</mml:mo> <mml:mi>x</mml:mi> <mml:mo>,</mml:mo> <mml:msup> <mml:mi>x</mml:mi> <mml:mo>&#x2032;</mml:mo> </mml:msup> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:msub> <mml:mi>F</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:mi>x</mml:mi> <mml:mo>,</mml:mo> <mml:mi>&#x03B1;</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>=</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:math>, <mml:math alttext="$eta(x)=0$"> <mml:mi>&#x03B2;</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>=</mml:mo> <mml:mn>0</mml:mn> </mml:math>, where <mml:math alttext="$f_j$"> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>j</mml:mi> </mml:msub> </mml:math> satisfy local Carathéodory conditions on some <mml:math alttext="$[0,T]imesmathcal{D}_jsubset R^2$"> <mml:mrow> <mml:mo>[</mml:mo> <mml:mrow> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi>T</mml:mi> </mml:mrow> <mml:mo>]</mml:mo> </mml:mrow> <mml:mo>&#x00D7;</mml:mo> <mml:msub> <mml:mi>&#x1D49F;</mml:mi> <mml:mi>j</mml:mi> </mml:msub> <mml:mo>&#x2282;</mml:mo> <mml:msup> <mml:mi>&#x211D;</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math>, <mml:math alttext="$f_j$"> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>j</mml:mi> </mml:msub> </mml:math> are either regular or have singularities in their phase variables <mml:math alttext="$(j=1,2,3)$"> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mi>j</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mn>2</mml:mn> <mml:mo>,</mml:mo> <mml:mn>3</mml:mn> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> </mml:math>, <mml:math alttext="$F_i: C^1[0,T] ightarrow C^0[0,T]$ $(i=1,2)$"> <mml:mrow> <mml:msub> <mml:mi>F</mml:mi> <mml:mi>i</mml:mi> </mml:msub> <mml:mo>:</mml:mo> <mml:msup> <mml:mi>C</mml:mi> <mml:mn>1</mml:mn> </mml:msup> <mml:mrow> <mml:mo>[</mml:mo> <mml:mrow> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi>T</mml:mi> </mml:mrow> <mml:mo>]</mml:mo> </mml:mrow> <mml:mo>&#x2192;</mml:mo> <mml:msup> <mml:mi>C</mml:mi> <mml:mn>0</mml:mn> </mml:msup> <mml:mrow> <mml:mo>[</mml:mo> <mml:mrow> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi>T</mml:mi> </mml:mrow> <mml:mo>]</mml:mo> </mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mi>i</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>, and <mml:math alttext="$alpha,eta:C^1[0,T] ightarrowR$"> <mml:mrow> <mml:mi>&#x03B1;</mml:mi> <mml:mo>,</mml:mo> <mml:mi>&#x03B2;</mml:mi> <mml:mo>:</mml:mo> <mml:msup> <mml:mi>C</mml:mi> <mml:mn>1</mml:mn> </mml:msup> <mml:mrow> <mml:mo>[</mml:mo> <mml:mrow> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi>T</mml:mi> </mml:mrow> <mml:mo>]</mml:mo> </mml:mrow> <mml:mo>&#x2192;</mml:mo> <mml:mi>&#x211D;</mml:mi> </mml:mrow> </mml:math> are continuous. …”
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Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods by R. G. Buschman

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A modified scheme to the multiple shooting method for BVPs by Samad Kheybari, Mohammad Taghi Darvishi, Farzaneh Alizadeh, Salah Mahmoud Boulaaras, Kamyar Hosseini

Subjects: “…Boundary value problems…”
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The positivity of the differential operator generated by hyperbolic system of equations by Rahat Prenov

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Novel exact solutions for PDEs with mixed boundary conditions by Mark Craddock, Martino Grasselli, Andrea Mazzoran

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