Some eigenvalue problems with non-local boundary conditions and applications
نویسندگان
چکیده
منابع مشابه
The Study of Some Boundary Value Problems Including Fractional Partial Differential Equations with non-Local Boundary Conditions
In this paper, we consider some boundary value problems (BVP) for fractional order partial differential equations (FPDE) with non-local boundary conditions. The solutions of these problems are presented as series solutions analytically via modified Mittag-Leffler functions. These functions have been modified by authors such that their derivatives are invariant with respect to fractional deriv...
متن کاملThe Wave Equation in Non-classic Cases: Non-self Adjoint with Non-local and Non-periodic Boundary Conditions
In this paper has been studied the wave equation in some non-classic cases. In the rst case boundary conditions are non-local and non-periodic. At that case the associated spectral problem is a self-adjoint problem and consequently the eigenvalues are real. But the second case the associated spectral problem is non-self-adjoint and consequently the eigenvalues are complex numbers,in which two ...
متن کاملSome free boundary problems involving non-local diffusion and aggregation
We report on recent progress in the study of evolution processes involving degenerate parabolic equations which may exhibit free boundaries. The equations we have selected follow two recent trends in diffusion theory: considering anomalous diffusion with long-range effects, which leads to fractional operators or other operators involving kernels with large tails; and the combination of diffusio...
متن کاملCasimir effect with non-local boundary conditions
Non-local boundary conditions have been considered in theoretical highenergy physics with emphasis on one-loop quantum cosmology, one-loop conformal anomalies, Bose–Einstein condensation models and spectral branes. In the present paper, for the first time in the literature, the Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are investigated f...
متن کاملSome Existence Results for Boundary Value Problems of Fractional Differential Inclusions with Non-separated Boundary Conditions
In this paper, we study the existence of solutions for a boundary value problem of differential inclusions of order q ∈ (1, 2] with non-separated boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications on Pure and Applied Analysis
سال: 2014
ISSN: 1534-0392
DOI: 10.3934/cpaa.2014.13.2465