Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems by Chanon Promsakon, Sotiris K. Ntouyas, Jessada Tariboon

“…This paper is concerned with the existence and uniqueness of solutions for a new class of boundary value problems, consisting by Hilfer-Hadamard fractional differential equations, supplemented with nonlocal integro-multipoint boundary conditions. …”
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Boundary value problems for partial differential equations with piecewise contant delay by Joseph Wiener

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Nonlinear Elliptic Boundary Value Problems at Resonance with Nonlinear Wentzell Boundary Conditions by Ciprian G. Gal, Mahamadi Warma

“…In the first part of the article, we give necessary and sufficient conditions in terms of the given functions f, g and the nonlinearities α1, α2, for the solvability of the above nonlinear elliptic boundary value problems with the nonlinear boundary conditions. …”
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Multiple solutions to a quasilinear periodic boundary value problem with impulsive effects by John Graef, Shapour Heidarkhani, Lingju Kong, Shahin Moradi

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Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions by Hui Li, Libo Wang, Minghe Pei

“…O'Regan, the existence of solutions and positive solutions for the previous boundary value problems is obtained. Meanwhile, as applications, some examples are given to illustrate our results.…”
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First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales by Ya-Hong Zhao

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Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems by Muhammad Aslam Noor, Syed Tauseef Mohyud-Din

“…The technique can be used as an alternative for solving nonlinear boundary value problems.…”
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Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order by J. Caballero, J. Harjani, K. Sadarangani

“…We are concerned with the existence and uniqueness of positive solutions for the following nonlinear fractional boundary value problem: D0+αu(t)+f(t,u(t))=0, 0≤t≤1, 3<α≤4, u(0)=u′(0)=u″(0)=u″(1)=0, where D0+α denotes the standard Riemann-Liouville fractional derivative. …”
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Well-posedness of boundary value problems for reverse parabolic equation with integral condition by Charyyar Ashyralyyev

“…Coercive stability estimates for solution of three boundary value problems (BVPs) to reverse parabolic equation with integral condition are established.…”
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The Periodic Boundary Value Problem for a Quasilinear Evolution Equation in Besov Spaces by Yun Wu, Zhengrong Liu, Xiang Zhang

“…This paper is concerned with the periodic boundary value problem for a quasilinear evolution equation of the following type: ∂tu+f(u)∂xu+F(u)=0, x∈T=R/2πZ, t∈R+. …”
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A Variational Calculation of Diffusive Flux in a Mixed Boundary Value Problem by Pons, William, Pons, Stanley

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The Asymptotic Solution of the Initial Boundary Value Problem to a Generalized Boussinesq Equation by Zheng Yin, Feng Zhang

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Positive Solutions for Sturm-Liouville Boundary Value Problems in a Banach Space by Hua Su, Lishan Liu, Yonghong Wu

“…We consider the existence of single and multiple positive solutions for a second-order Sturm-Liouville boundary value problem in a Banach space. The sufficient condition for the existence of positive solution is obtained by the fixed point theorem of strict set contraction operators in the frame of the ODE technique. …”
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First-Order Three-Point Boundary Value Problems at Resonance Part III by Mesliza Mohamed, Bevan Thompson, Muhammad Sufian Jusoh

“…By employing the implicit function theorem, sufficient conditions for the existence of three-point boundary value problems are established.…”
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Rapid convergence of approximate solutions for first order nonlinear boundary value problems by Alberto Cabada, Juan J. Nieto, Seppo Heikkilä

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Boundedness and monotonicity of principal eigenvalues for boundary value problems with indefinite weight functions by G. A. Afrouzi

“…., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem: −Δu(x)=λg(x)u(x), x∈D;(∂u/∂n)(x)+αu(x)=0, x∈∂D, where Δ is the standard Laplace operator, D is a bounded domain with smooth boundary, g:D→ℝ is a smooth function which changes sign on D and α∈ℝ. …”
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The Existence and Multiplicity of Positive Solutions for Second-Order Periodic Boundary Value Problem by Feng Wang, Fang Zhang, Fuli Wang

“…The existence and multiplicity of positive solutions are established for second-order periodic boundary value problem. Our results are based on the theory of a fixed point index for A-proper semilinear operators defined on cones due to Cremins. …”
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The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations by Yanli Chen, Yongxiang Li

“…We consider the existence of positive solutions for the nonlinear fractional differential equations boundary value problem -D0+αu(t)=f(t,u(t)),   0<t<1,  u(0)=u'(0)=u'(1)=0, where 2<α≤3 is a real number, D0+α is the Riemann-Liouville fractional derivative of order α, and f is a given continuous function. …”
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Existence of Positive Solutions for Some Superlinear Fourth-Order Boundary Value Problems by Imed Bachar, Habib Mâagli

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On Nonseparated Three-Point Boundary Value Problems for Linear Functional Differential Equations by A. Rontó, M. Rontó

“…We show that, to investigate such a problem, it is often useful to reduce it to a parametric family of two-point boundary value problems for a suitably perturbed differential system. …”
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