On the Solution of Boundary Value Problems Set in Domains With Moving Boundaries
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DOI: 10.1002/mma.10888
Abstract: We construct solutions for time‐dependent boundary value problems set in moving domains with Dirichlet, Neumann, and mixed boundary conditions. When the boundaries are time deformations of an initial boundary along a vector field, we can… read more here.
Keywords: problems set; solution boundary; boundary value; boundary conditions ... See more keywords
Integral Representation of Solutions to Initial‐Boundary Value Problems on a Finite Interval in the Framework of the Hyperbolic Heat Equation
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DOI: 10.1002/mma.11140
Abstract: We consider initial‐boundary value problems on a finite interval for the system of the energy balance equation and modified Fourier's law (constitutive equation, commonly called the Cattaneo equation) describing temperature (or internal energy) and heat… read more here.
Keywords: equation; heat; value problems; boundary value ... See more keywords
On the Relationship Between Solutions of Boundary Value Problems for Differential Equations and Corresponding Problems for Dynamic Equations on Time Scales
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DOI: 10.1002/mma.70350
Abstract: This paper investigates the relationship between solutions of boundary value problems for ordinary differential equations and those for a family of dynamic equations on time scales. The main result demonstrates that, when the graininess tends… read more here.
Keywords: solutions boundary; differential equations; dynamic equations; boundary value ... See more keywords
Existence of Solutions of Nonlinear and Non-local Fractional Boundary Value Problems
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DOI: 10.1007/s00009-019-1388-9
Abstract: In this paper, we establish new results for non-local boundary value problems. In particular, we study a fractional differential equation where the associated integral equation has a kernel that is not bounded above and changes… read more here.
Keywords: existence solutions; boundary value; solutions nonlinear; non local ... See more keywords
GENERIC-based formulation and discretization of initial boundary value problems for finite strain thermoelasticity
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DOI: 10.1007/s00466-019-01781-5
Abstract: A new variational formulation for finite strain thermoelastodynamics is proposed. The variational formulation emanates from the GENERIC formalism and makes possible the free choice of the thermodynamic state variable. In particular, one may choose the… read more here.
Keywords: finite strain; state variable; initial boundary; formulation ... See more keywords
Optimization of Boundary Value Problems for Certain Higher-Order Differential Inclusions
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DOI: 10.1007/s10883-017-9392-5
Abstract: The present paper studies a new class of problems of optimal control theory with special differential inclusions described by higher-order linear differential operators (HLDOs). There arises a rather complicated problem with simultaneous determination of the… read more here.
Keywords: order; differential inclusions; boundary value; higher order ... See more keywords
p-value Problems? An Examination of Evidential Value in Criminology
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DOI: 10.1007/s10940-020-09459-5
Abstract: This study aims to assess the evidential value of the knowledgebase in criminology after accounting for the presence of potential Type I errors. The present study examines the distribution of 1248 p-values (that inform 84… read more here.
Keywords: problems examination; value; criminology; criminology value ... See more keywords
Multiple Solutions of Boundary-Value Problems for Hamiltonian Systems
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DOI: 10.1007/s10958-018-3847-4
Abstract: We consider two-point boundary-value problems for a Hamiltonian system of the form x′ = f(k, y), y′ = g(x, ????), where k and ???? are parameters. The numbers of solutions, both positive and oscillatory, for… read more here.
Keywords: problems hamiltonian; solutions boundary; boundary value; multiple solutions ... See more keywords
Multiplicity of Positive Solutions to the Boundary-Value Problems for Fractional Laplacians
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DOI: 10.1007/s10958-018-4124-2
Abstract: For the problem (−Δ)su=uq−1 in the annulus ΩR = BR+1 \ BR ∈ ℝn, a so-called “multiplicity effect” is established: for each N ∈ ℕ there exists R0 such that for all R ≥ R0… read more here.
Keywords: multiplicity; solutions boundary; positive solutions; boundary value ... See more keywords
Boundary-Value Problems for the Evolutionary Schrödinger Equation. I
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DOI: 10.1007/s10958-020-04963-2
Abstract: We prove a series of results on the existence of solutions of boundary-value problems for the Schrodinger equation in the resonance (critical) case. Iterative procedures are proposed for the construction of solutions of the corresponding… read more here.
Keywords: evolutionary schr; boundary value; equation; value problems ... See more keywords
Boundary-value problems for singular p– and p(x)– Laplacian equations in a domain with conical point on the boundary
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DOI: 10.1007/s10958-021-05308-3
Abstract: This paper is a survey of our last results about solutions to the Dirichlet and Robin boundary problems, the Robin transmission problem for an elliptic quasilinear second-order equation with the constant p– and variable p(x)-Laplacians,… read more here.
Keywords: equations domain; singular laplacian; boundary value; problems singular ... See more keywords