Results 61 to 70 of about 6,031,844 (195)
Existence of multiple solutions for Sturm-Liouville boundary value problems
In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved ...
Hadi Haghshenas, Ghasem alizadeh Afrouzi
doaj
The existence of three solutions for nonlinear operator equations is established via index theory for linear self-adjoint operator equations, critical point reduction method, and three critical points theorems obtained by Brezis-Nirenberg, Ricceri, and ...
Mingliang Song, Shuyuan Mei
doaj +1 more source
Sampling Theorems for Sturm Liouville Problem with Moving Discontinuity Points
In this paper, we investigate the sampling analysis for a new Sturm-Liouville problem with symmetrically located discontinuities which are defined to depending on a neighborhood of a midpoint of the interval.
Altinisik, Nihat, Hira, Fatma
core +1 more source
Abstract The Ogasawara subregion of the Izu‐Ogasawara‐Mariana arc system in the western North Pacific is recognized as one of the most notable hotspots for thermocline turbulent mixing. Although parametric subharmonic instability (PSI) is generally considered a primary driver of enhanced turbulence by facilitating energy transfer from low‐mode ...
Takashi Ijichi +2 more
wiley +1 more source
Properties and Decompositions of Domains for Powers of the Jacobi Differential Operator
We set out to build a framework for self-adjoint extension theory for powers of the Jacobi differential operator that does not make use of classical deficiency elements.
Frymark, Dale, Liaw, Constanze
core +1 more source
Improved Theoretical Estimates of the Zonal Propagation of Global Nonlinear Mesoscale Eddies
Abstract Mesoscale eddies are essential for transport and mixing processes in the global ocean, with their characteristic westward propagation being a significant finding from the satellite altimetry era. Traditional predictions of their zonal propagation rely on the theoretical phase speed of long baroclinic Rossby waves; however, this approach is ...
Ran Liu +4 more
wiley +1 more source
Variational Method to the Impulsive Equation with Neumann Boundary Conditions
We study the existence and multiplicity of classical solutions for second-order impulsive Sturm-Liouville equation with Neumann boundary conditions. By using the variational method and critical point theory, we give some new criteria to guarantee that ...
Juntao Sun, Haibo Chen
doaj +2 more sources
Abstract Internal tides are generated in the stratified ocean interior by the interaction of barotropic tidal currents with rough bathymetry. Low‐vertical‐mode internal tides can transport energy far from their generation site, but it remains unclear how and where this energy is eventually dissipated at small scales.
L. E. Baker, A. Doak, D. Bi
wiley +1 more source
Inequalities among eigenvalues of Sturm–Liouville problems
There are well-known inequalities among the eigenvalues of Sturm–Liouville problems with periodic, semi-periodic, Dirichlet and Neumann boundary conditions.
Kong Q, Wu H, Zettl A, Eastham MSP
doaj
The conservative Camassa–Holm flow with step‐like irregular initial data
Abstract We extend the inverse spectral transform for the conservative Camassa–Holm flow on the line to a class of initial data that requires strong decay at one endpoint but only mild boundedness‐type conditions at the other endpoint. The latter condition appears to be close to optimal in a certain sense for the well‐posedness of the conservative ...
Jonathan Eckhardt, Aleksey Kostenko
wiley +1 more source

