Results 41 to 50 of about 3,849,109 (255)
Blowup Analysis for a Semilinear Parabolic System with Nonlocal Boundary Condition
Boundary Value Problems, 2009 This paper deals with the properties of positive solutions to a semilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal boundary.
Zhaoyin Xiang, Yulan Wang
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On positive eigenfunctions of Sturm‐Liouville problem with nonlocal two‐point boundary condition
Mathematical Modelling and Analysis, 2007 Positive eigenvalues and corresponding eigenfunctions of the linear Sturm‐Liouville problem with one classical boundary condition and another nonlocal two‐point boundary condition are considered in this paper.
Sigita Pečiulytė, Artūras Štikonas
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Sequential evolution conformable differential equations of second order with nonlocal condition
Advances in Differential Equations, 2019 In this paper, we investigate second order evolution differential equation in the frame of sequential conformable derivatives with nonlocal condition. First, we establish Duhamel’s formula in terms of a standard cosine family of linear operators.
M. Bouaouid, K. Hilal, Said Melliani
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Nonlocal Neumann boundary conditions
Bruno Pini Mathematical Analysis Seminar, 2023 We present some properties of a nonlocal version of the Neumann boundary conditions associated to problems involving the fractional p-Laplacian. For this problems, we show some regularity results for the general case and some existence results for particular types of problems.
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A unified existence theory for evolution equations and systems under nonlocal conditions [PDF]
, 2014 We investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of global mild solutions for functional-differential equations in a Banach space. A progressive transition from the
Cardinali, Tiziana +2 more
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Mathematical Modelling and Analysis, 2020 The article investigates the Sturm–Liouville problem with one classical and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this function depend on ...
Kristina Bingelė +2 more
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Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities [PDF]
, 2017 A nonlinear Schr\"odinger equation (NLS) with dispersion averaged nonlinearity of saturated type is considered. Such a nonlocal NLS is of integro-differential type and it arises naturally in modeling fiber-optics communication systems with periodically ...
Hundertmark, Dirk +3 more
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Recovering differential operators with nonlocal boundary conditions [PDF]
Analysis and Mathematical Physics, 2015 Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Sturm-Liouville operator.
Yurko, Vjacheslav Anatoljevich +1 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 In this paper, we consider a problem for a one-dimensional hyperbolic equation with nonlocal integral condition of the second kind. Uniqueness and existence of a generalized solution are proved. In order to prove this statement we suggest a new approach.
Ludmila S Pulkina, Alesya E Savenkova
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, 2021 This paper investigates singularly perturbed parabolic partial differential equations with delay in space, and the right end plane is an integral boundary condition on a rectangular domain.
Sekar Elango +6 more
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