Results 11 to 20 of about 228 (55)
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
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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
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International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 4, Page 789-797, 1995., 1992 An algorithm for the computation of Green′s matrices for boundary value problems associated with a pair of mixed linear regular ordinary differential operators is presented and two examples from the studies of acoustic waveguides in ocean and transverse vibrations in nonhomogeneous strings are discussed.
T. Gnana Bhaskar, M. Venkatesulu
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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.
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Generalized Green′s functions for higher order boundary value matrix differential systems
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 523-535, 1992., 1992 In this paper, a Green′s matrix function for higher order two point boundary value differential matrix problems is constructed. By using the concept of rectangular co‐solution of certain algebraic matrix equation associated to the problem, an existence condition as well as an explicit closed form expression for the solution of possibly not well‐posed ...
R. J. Villanueva, L. Jodar
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Generalized two point boundary value problems. existence and uniqueness
International Journal of Stochastic Analysis, Volume 5, Issue 2, Page 147-156, 1992., 1991 An algorithm is presented for finding the pseudo‐inverse of a rectangular matrix. Using this algorithm as a tool, existence and uniqueness of solutions to two point boundary value problems associated with general first order matrix differential equations are established.
K. N. Murty, S. Sivasundaram
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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
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A Jost-Pais-type reduction of (modified) Fredholm determinants for semi-separable operators in infinite dimensions [PDF]
, 2014 We study the analog of semi-separable integral kernels in $\mathcal{H}$ of the type $$ K(x,x')=\begin{cases} F_1(x)G_1(x ...
Gesztesy, Fritz, Nichols, Roger
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Advances in Nonlinear Analysis, 2016 We are concerned with the existence, uniqueness and global asymptotic behavior of positive continuous solutions to the second-order boundary value ...
Bachar Imed, Mâagli Habib
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Essential closures and AC spectra for reflectionless CMV, Jacobi, and Schrödinger operators revisited [PDF]
, 2008 We provide a concise, yet fairly complete discussion of the concept of essential closures of subsets of the real axis and their intimate connection with the topological support of absolutely continuous measures. As an elementary application of the notion
Gesztesy, Fritz +2 more
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