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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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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Existence of Nontrivial Solutions for Some Second-Order Multipoint Boundary Value Problems by Hongyu Li, Junting Zhang

“…By using fixed point theorems with lattice structure, the existence of negative solution and sign-changing solution for some second-order multipoint boundary value problems is obtained.…”
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Maximal regular boundary value problems in Banach-valued function spaces and applications by Veli B. Shakhmurov

“…The nonlocal boundary value problems for differential operator equations of second order with dependent coefficients are studied. …”
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General existence principles for nonlocal boundary value problems with φ-Laplacian and their applications by Ravi P. Agarwal, Donal O'Regan, Svatoslav Stanek

“…The paper presents general existence principles which can be used for a large class of nonlocal boundary value problems of the form (φ(x′))′=f1(t,x,x′)+f2(t,x,x′)F1x+f3(t,x,x′)F2x,α(x)=0, β(x)=0, where fj satisfy local Carathéodory conditions on some [0,T]×&#x1D49F;j⊂ℝ2, fj are either regular or have singularities in their phase variables (j=1,2,3), Fi:C1[0,T]→C0[0,T](i=1,2), and α,β:C1[0,T]→ℝ are continuous. …”
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Boundary Value Problems for Fourth Order Nonlinear p-Laplacian Difference Equations by Qinqin Zhang

“…We consider the boundary value problem for a fourth order nonlinear p-Laplacian difference equation containing both advance and retardation. …”
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Mixed Initial-Boundary Value Problem for Telegraph Equation in Domain with Variable Borders by V. A. Ostapenko

“…Mixed initial-boundary value problem for telegraph equation in domain with variable borders is considered. …”
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