Results 11 to 20 of about 205 (36)
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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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
wiley +1 more source
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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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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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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On Dirichlet-to-Neumann Maps, Nonlocal Interactions, and Some Applications to Fredholm Determinants [PDF]
, 2010 We consider Dirichlet-to-Neumann maps associated with (not necessarily self-adjoint) Schrodinger operators describing nonlocal interactions in $L^2(\Omega; d^n x)$, $n\geq 2$, where $\Omega$ is an open set with a compact, nonempty boundary satisfying ...
Gesztesy, Fritz +2 more
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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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Principal Solutions Revisited [PDF]
, 2015 The main objective of this paper is to identify principal solutions associated with Sturm-Liouville operators on arbitrary open intervals $(a,b) \subseteq \mathbb{R}$, as introduced by Leighton and Morse in the scalar context in 1936 and by Hartman in ...
Clark, Stephen +2 more
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Positive bounded solutions for nonlinear polyharmonic problems in the unit ball
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, we study the existence of positive solutions for the following nonlinear polyharmonic equation (-∆)mu+λf(x, u) = 0 in B; subject to some boundary conditions, where m is a positive integer, λ is a nonnegative constant and B is the unit ball
Mâagli Habib, Zine El Abidine Zagharide
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