Evolutionary equation of inertial waves in 3-D multiply connected domain with Dirichlet boundary condition by Pavel A. Krutitskii

“…We study initial-boundary value problem for an equation of composite type in 3-D multiply connected domain. …”
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A Note on First Passage Functionals for Lévy Processes with Jumps of Rational Laplace Transforms by Djilali Ait-Aoudia

“…The corresponding boundary value problem is solved to obtain an explicit formula for the first passage functional. …”
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Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition by Deniz Agirseven

“…Finite difference and homotopy analysis methods are used for the approximate solution of the initial-boundary value problem for the delay parabolic partial differential equation with the Dirichlet condition. …”
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Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations by Hanying Feng, Xiaofeng Zhang

“…In this article, we investigate a boundary value problem for a coupled differential system of fractional order that the nonlinear term depends on the unknown functions as well as their lower order fractional derivatives. …”
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Monotone Iterative Schemes for Positive Solutions of a Fractional q-Difference Equation with Integral Boundary Conditions on the Half-Line by Min Jiang, Rengang Huang

“…In this paper, we study the boundary value problem of a fractional q-difference equation with nonlocal integral boundary conditions on the half-line. …”
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The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions by Qun Gao

“…We study the existence of multiple solutions for a fourth-order nonlinear boundary value problem. We give some new criteria for guaranteeing that the fourth-order elastic beam equation with a perturbed term has at least three solutions. …”
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Existence Results for Fractional Differential Equations with Separated Boundary Conditions and Fractional Impulsive Conditions by Xi Fu, Xiaoyou Liu

“…This paper is concerned with the fractional separated boundary value problem of fractional differential equations with fractional impulsive conditions. …”
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Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP by Xuezhe Lv, Libo Wang, Minghe Pei

“…We study the existence and monotone iteration of solutions for a third-order four-point boundary value problem. An existence result of positive, concave, and pseudosymmetric solutions and its monotone iterative scheme are established by using the monotone iterative technique. …”
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Study of multilayer flow of non-Newtonian fluid sandwiched between nanofluids by Shruthy Myson, Mahanthesh Basavarajappa, Kuppalapalle Vajravelu

“…These differential equations are non-dimensionalized, and the resulting dimensionless four-point nonlinear boundary value problem is transformed into a two-point boundary value problem before being solved numerically. …”
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A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set by Nguyen Thanh Long, Le Thi Phuong Ngoc

“…The purpose of this paper is to show that the set of weak solutions of the initial-boundary value problem for the linear wave equation is nonempty, connected, and compact.…”
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The topological degree method for equations of the Navier-Stokes type by V. T. Dmitrienko, V. G. Zvyagin

“…We obtain results of existence of weak solutions in the Hopf sense of the initial-boundary value problem for the generalized Navier-Stokes equations containing perturbations of retarded type. …”
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Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain by J. Límaco, H. R. Clark, L. A. Medeiros

“…We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. …”
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Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order by Yang Liu, Zhang Weiguo

“…We investigate the existence of multiple positive solutions for a class of boundary value problems of nonlinear differential equation with Caputo’s fractional order derivative. …”
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Existence of Solutions for the Discrete Dirichlet Problem Involving p-Mean Curvature Operator by Jianxia Wang, Zhan Zhou

“…This work is to discuss the Dirichlet boundary value problem of the difference equation with p -mean curvature operator. …”
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A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients by Cecilia De Zan, Pierpaolo Soravia

“…We prove a comparison principle for the initial-boundary value problem whose consequence is uniqueness of continuous solutions and well- posedness of the level set method.…”
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Existence of Solutions of Fractional Differential Equation with p-Laplacian Operator at Resonance by Zhigang Hu, Wenbin Liu, Jiaying Liu

“…By using the extension of Mawhin’s continuation theorem due to Ge, we consider boundary value problems for fractional p-Laplacian equation. …”
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Modified Wiener equations by Will Watkins

“…In our case, either two initial conditions or two boundary conditions are necessary for a solution; the equation is then reduced to a boundary value problem for a higher order ODE.…”
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Conservative Difference Scheme for Generalized Rosenau-KdV Equation by Yan Luo, Youcai Xu, Minfu Feng

“…A conservative Crank-Nicolson finite difference scheme for the initial-boundary value problem of generalized Rosenau-KdV equation is proposed. …”
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Singularity Analysis for a Class of Porous Medium Equation with Time-Dependent Coefficients by Anyin Xia, Xianxiang Pu, Shan Li

“…Furthermore, we investigate the blow-up solution to the boundary value problem. The upper and lower estimates to the lifespan of the singular solution are also obtained here.…”
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Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions by Murat Olgun, Turhan Koprubasi, Yelda Aygar

“…We investigate the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP) 𝑎𝑛−1𝑦𝑛−1+𝑏𝑛𝑦𝑛+𝑎𝑛𝑦𝑛+1=𝜆𝑦𝑛, 𝑛∈ℕ and (𝛾0+𝛾1𝜆)𝑦1+(𝛽0+𝛽1𝜆)𝑦0=0, where (𝑎𝑛) and (𝑏𝑛) are complex sequences, 𝜆 is an eigenparameter, and 𝛾𝑖, 𝛽𝑖∈ℂ for 𝑖=0, 1.…”
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