Existence of nodal solutions to some nonlinear boundary value problems for ordinary differential equations of fourth order by Ziyatkhan Aliyev, Yagut Aliyeva

“…In this paper, we study the existence of nodal solutions of some nonlinear boundary value problems for ordinary differential equations of fourth order with a spectral parameter in the boundary condition. …”
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Positive Solutions for a System of Nonlinear Semipositone Boundary Value Problems with Riemann-Liouville Fractional Derivatives by Xiaowei Qiu, Jiafa Xu, Donal O’Regan, Yujun Cui

“…We study the existence of positive solutions for the system of nonlinear semipositone boundary value problems with Riemann-Liouville fractional derivatives D0+αD0+αu=f1t,u,u′,v,v′,  0<t<1, D0+αD0+αv=f2(t,u,u′,v,v′),  0<t<1, u0=u′0=u′(1)=D0+αu(0)=D0+α+1u(0)=D0+α+1u(1)=0, and v(0)=v′(0)=v′(1)=D0+αv(0)=D0+α+1v(0)=D0+α+1v(1)=0, where α∈(2,3] is a real number and D0+α is the standard Riemann-Liouville fractional derivative of order α. …”
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On the Solvability of a Resonant Third-Order Integral m-Point Boundary Value Problem on the Half-Line by O. F. Imaga, J. G. Oghonyon, P. O. Ogunniyi

“…In this work, the existence of at least one solution for the following third-order integral and m-point boundary value problem on the half-line at resonance ρtu′t″=wt,ut,u′t,u″t,t∈0,∞,u0=∑j=1m αj∫0ηj utdt,u′0=0,limt⟶∞ρtu′t′=0, will be investigated. …”
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A Quintic Spline-Based Computational Method for Solving Singularly Perturbed Periodic Boundary Value Problems by Puvaneswari Arumugam, Valanarasu Thynesh, Chandru Muthusamy, Higinio Ramos

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Existence of Positive Solutions to Nonlinear Fractional Boundary Value Problem with Changing Sign Nonlinearity and Advanced Arguments by Zhaocai Hao, Yubo Huang

“…We discuss the existence of positive solutions to a class of fractional boundary value problem with changing sign nonlinearity and advanced arguments Dαx(t)+μh(t)f(x(a(t)))=0,t∈(0,1),2<α≤3,μ>0,x(0)=x′(0)=0,x(1)=βx(η)+λ[x],β>0, and  η∈(0,1), where Dα is the standard Riemann-Liouville derivative, f:[0,∞)→[0,∞) is continuous, f(0)>0, h :[0,1]→(−∞,+∞), and a(t) is the advanced argument. …”
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Monotone and Concave Positive Solutions to a Boundary Value Problem for Higher-Order Fractional Differential Equation by Jinhua Wang, Hongjun Xiang, Yuling Zhao

“…We consider boundary value problem for nonlinear fractional differential equation D0+αu(t)+f(t,u(t))=0,  0<t<1,  n-1<α≤n,  n>3,  u(0)=u'(1)=u′′(0)=⋯=u(n-1)(0)=0, where D0+α denotes the Caputo fractional derivative. …”
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Flux Transport Characteristics of Free Boundary Value Problems for a Class of Generalized Convection-Diffusion Equation by Yunbin Xu, Meihua Wei

“…The similarity transformation is introduced for studying free boundary value problems for a class of generalized convection-diffusion equation. …”
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Boundary Value Problems for Systems of Second-Order Dynamic Equations on Time Scales with Δ-Carathéodory Functions by M. Frigon, H. Gilbert

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Initial Boundary Value Problem of the General Three-Component Camassa-Holm Shallow Water System on an Interval by Lixin Tian, Qingwen Yuan, Lizhen Wang

“…We study the initial boundary value problem of the general three-component Camassa-Holm shallow water system on an interval subject to inhomogeneous boundary conditions. …”
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A Chebyshev Spectral Method with Null Space Approach for Boundary-Value Problems of Euler-Bernoulli Beam by C. P. Hsu, C. F. Hung, J. Y. Liao

“…We proposed a Chebyshev spectral method with a null space approach for investigating the boundary-value problem of a nonprismatic Euler-Bernoulli beam with generalized boundary or interface conditions. …”
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Common Fixed-Point Theorems in the Partial b-Metric Spaces and an Application to the System of Boundary Value Problems by Muhammad Nazam, Zahida Hamid, Hamed Al Sulami, Aftab Hussain

“…As an application, we discuss the common solution to the system of boundary value problems.…”
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A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem by Raghib Abu-Saris, Wajdi Ahmad

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Positive Solutions for a Class of Discrete Mixed Boundary Value Problems with the p,q-Laplacian Operator by Cuiping Li, Zhan Zhou

“…In this paper, we consider the existence of solutions for the discrete mixed boundary value problems involving p,q-Laplacian operator. …”
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Solvability of a Class of Generalized Neumann Boundary Value Problems for Second-Order Nonlinear Difference Equations by Jianye Xia, Yuji Liu

“…New sufficient conditions for the existence of at least one solution of the generalized Neumann boundary value problems for second order nonlinear difference equations ∇Δx(k)=f(k,x(k),x(k+1)), k∈[1,n−1], x(0)=ax(1), x(n)=bx(n−1), are established.…”
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On the continuity of principal eigenvalues for boundary value problems with indefinite weight function with respect to radius of balls in ℝN by Ghasem Alizadeh Afrouzi

“…., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem −Δu(x)=λg(x)u(x), x∈BR(0);u(x)=0, |x|=R, where BR(0) is a ball in ℝN, and g is a smooth function, and we show that λ1+(R) and λ1−(R) are continuous functions of R.…”
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Existence of Uniqueness and Nonexistence Results of Positive Solution for Fractional Differential Equations Integral Boundary Value Problems by Yongqing Wang

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Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain by Guotao Wang, Sanyang Liu, Lihong Zhang

“…By employing the monotone iterative method, this paper not only establishes the existence of the minimal and maximal positive solutions for multipoint fractional boundary value problem on an unbounded domain, but also develops two computable explicit monotone iterative sequences for approximating the two positive solutions. …”
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Existence of a unique solution to a fourth-order boundary value problem and elastic beam analysis by Ravindra Rao, Jagan Mohan Jonnalagadda

Subjects: “…fourth-order boundary value problem…”
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Parameter Dependence of Positive Solutions for Second-Order Singular Neumann Boundary Value Problems with Impulsive Effects by Xuemei Zhang

“…The author considers the Neumann boundary value problem -y′′t+Myt=λωtft,yt,  t∈J,    t≠tk,  -Δy′|t=tk = λIktk,ytk,   k=1,2,…,m,  y′(0)=y′(1)=0 and establishes the dependence results of the solution on the parameter λ, which cover equations without impulsive effects and are compared with some recent results by Nieto and O’Regan.…”
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Solvability of Three-Point Boundary Value Problems at Resonance with a p-Laplacian on Finite and Infinite Intervals by Hairong Lian, Patricia J. Y. Wong, Shu Yang

“…Three-point boundary value problems of second-order differential equation with a p-Laplacian on finite and infinite intervals are investigated in this paper. …”
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