Results 11 to 20 of about 244 (53)
Unbounded solution for a fractional boundary value problem
Advances in Differential Equations, 2014 This paper concerns the existence of unbounded positive solutions of a fractional boundary value problem on the half line. By means of the properties of the Green function and the compression and expansion fixed point theorem (Kwong in Fixed Point Theory
A. Guezane-Lakoud, Adem Kılıçman
semanticscholar +2 more sources
Positive solutions for superlinear fractional boundary value problems
Advances in Differential Equations, 2014 We establish the existence, uniqueness, and global behavior of a positive solution for the following superlinear fractional boundary value problem: Dαu(x)=u(x)φ(x,u(x)), x∈(0,1), limx→0+Dα−1u(x)=−a, u(1)=b, where 10 and φ(x,t) is a nonnegative continuous
Imed Bachar, H. Mâagli
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Explicit Green functions for spin-orbit Hamiltonians [PDF]
, 2007 We derive explicit expressions for Green functions and some related characteristics of the Rashba and Dresselhaus Hamiltonians with a uniform magnetic field.Comment: 8 ...
Bruening, Jochen +2 more
core +1 more source
Green’s function for certain domains in the Heisenberg group Hn
Boundary Value Problems, 2014 We obtain an explicit smooth kernel which works as the Green’s function when applied to circular functions for annular and strip shaped domains in the Heisenberg group Hn by using the Kelvin transform and its generalizations.MSC: 22E30, 34B27.
M. M. Mishra, Ajay Kumar, S. Dubey
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Relativistic wave equations with fractional derivatives and pseudodifferential operators
Journal of Applied Mathematics, Volume 2, Issue 4, Page 163-197, 2002., 2002 We study the class of the free relativistic covariant equations generated by the fractional powers of the d′Alembertian operator (□1/n). The equations corresponding to n = 1 and 2 (Klein‐Gordon and Dirac equations) are local in their nature, but the multicomponent equations for arbitrary n > 2 are nonlocal. We show the representation of the generalized
Petr Závada
wiley +1 more source
Nonlinear elastic beam problems with the parameter near resonance
Open Mathematics, 2018 In this paper, we consider the nonlinear fourth order boundary value problem of the ...
Xu Man, Ma Ruyun
doaj +1 more source
Homoclinic solutions for linear and linearizable ordinary differential equations
Abstract and Applied Analysis, Volume 5, Issue 2, Page 65-83, 2000., 2000 Using functional arguments, some existence results for the infinite boundary value problem x˙=F(t,x),x(−∞)=x(+∞) are given. A solution of this problem is frequently called, from Poincaré, homoclinic.
Cezar Avramescu, Cristian Vladimirescu
wiley +1 more source
Sobolev type inequalities of time-periodic boundary value problems for Heaviside and Thomson cables
Boundary Value Problems, 2012 We consider a time-periodic boundary value problem of n th order ordinary differential operator which appears typically in Heaviside cable and Thomson cable theory.
Kazuo Takemura +4 more
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Vacuum Energy as Spectral Geometry [PDF]
, 2007 Quantum vacuum energy (Casimir energy) is reviewed for a mathematical audience as a topic in spectral theory. Then some one-dimensional systems are solved exactly, in terms of closed classical paths and periodic orbits. The relations among local spectral
Fulling, Stephen A.
core +6 more sources
Green function of triharmonic heat equation using addition formula of function e^(-x^3)
Miskolc Mathematical Notes, 2019 In this paper, using the Mellin transform of Airy function we present an integral addition formula for the function e x 3 . In deriving this representation, we make use of the Hankel functions of first kind and apply this representation to get the Green ...
A. Ansari
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