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
On the Mountain Pass Solutions to Boundary Value Problems on the Sierpinski Gasket
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DOI: 10.1007/s00025-019-1092-x
Abstract: We investigate the continuous dependence on parameters for the mountain pass solutions of second order elliptic equations with Dirichlet type boundary conditions considered on the Sierpinski gasket. read more here.
Keywords: pass solutions; solutions boundary; boundary value; sierpinski gasket ... 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
Analytical solutions of boundary-value problems of elasticity for confocal elliptic ring and its parts
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DOI: 10.1007/s40430-018-1307-1
Abstract: The work considers the method used to present the solutions of the boundary-value problems of elasticity for a confocal elliptic ring and its parts by using the analytical (exact) solutions of an ellipse and its… read more here.
Keywords: solutions boundary; confocal elliptic; elasticity confocal; problems elasticity ... See more keywords
Uniqueness of solutions in the boundary value problems of bending of thin micropolar plates with surface effects
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DOI: 10.1177/10812865241302745
Abstract: We propose a micropolar thin plate theory that incorporates surface elasticity effects to take into account simultaneously the contribution of high surface-to-volume ratios and the influence of microstructural mechanics at micro/nano scales. Using a direct… read more here.
Keywords: solutions boundary; mechanics; boundary value; uniqueness solutions ... See more keywords
Existence of weak solutions for a boundary value problem of a second order ordinary differential equation
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DOI: 10.1186/s13661-018-0929-7
Abstract: The aim of this paper is to investigate the existence of weak solutions for a boundary value problem of a second order differential equation. As the main tool, we apply a Krasnosel’skii type fixed point… read more here.
Keywords: solutions boundary; existence weak; value; value problem ... See more keywords
Three positive solutions for boundary value problem for differential equation with Riemann-Liouville fractional derivative
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Analysis and Computation"
DOI: 10.11948/2018.1227
Abstract: In this paper, by using the Avery-Peterson fixed point theorem, we establish the existence result of at least three positive solutions of boundary value problem of nonlinear differential equation with Riemann-Liouville’s fractional order derivative. An… read more here.
Keywords: solutions boundary; positive solutions; three positive; value ... See more keywords
Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations
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DOI: 10.14232/ejqtde.2024.1.41
Abstract: The aim of this paper is to estimate an interval of the existence of positive solutions for a boundary value problem for the system of three nonlinear second-order ordinary differential equations. Krasnosel'skiĭ–Precup fixed point theorem… read more here.
Keywords: solutions boundary; differential equations; positive solutions; interval existence ... See more keywords
Generalized Solutions to Boundary-Value Problems for Quasilinear Elliptic Equations on Noncompact Riemannian Manifolds
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DOI: 10.3103/s1066369x18010073
Abstract: In the present work we develop approximation approach to evaluation of solutions to boundary-value problems for quasilinear equations of the elliptic type on arbitrary noncompact Riemannian manifolds. Our technique essentially bases on an approach from… read more here.
Keywords: solutions boundary; riemannian manifolds; problems quasilinear; boundary value ... See more keywords
A Priori Estimation of Solutions of a Boundary Problem for a Pseudodifferential Equation with Degeneration
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DOI: 10.3103/s1066369x21050017
Abstract: In the half-space, we obtain a coercive a priori estimation of solutions to the boundary value problem for a degenerate pseudodifferential equation. The left-hand side of the equation is the sum of a pseudo-differential operator… read more here.
Keywords: estimation solutions; solutions boundary; pseudodifferential equation; priori estimation ... See more keywords