Results 41 to 50 of about 528,042 (304)
Journal of Function Spaces, 2018 We deal with a singular nonlocal fractional differential equation with Riemann-Stieltjes integral conditions. The exact iterative solution is established under the iterative technique. The iterative sequences have been proved to converge uniformly to the
J. Mao, Zengqin Zhao, Chenguang Wang
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On nonlocal problems for ordinary differential equations and on a nonlocal parabolic transmission problem [PDF]
International Journal of Stochastic Analysis, 1998 In the present paper we study nonlocal problems for ordinary differential equations with a discontinuous coefficient for the high order derivative. We establish sufficient conditions, known as regularity conditions, which guarantee the coerciveness for both the space variable and the spectral parameter, as well as guarantee the completeness of the ...
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Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity [PDF]
, 2010 We study the Gross-Pitaevskii equation involving a nonlocal interaction potential. Our aim is to give sufficient conditions that cover a variety of nonlocal interactions such that the associated Cauchy problem is globally well-posed with non-zero ...
André de Laire +15 more
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On the complete integrability and linearization of nonlinear ordinary differential equations - Part II: Third order equations [PDF]
, 2005 We introduce a method for finding general solutions of third-order nonlinear differential equations by extending the modified Prelle-Singer method. We describe a procedure to deduce all the integrals of motion associated with the given equation so that ...
Chandrasekar, V. K. +2 more
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Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations [PDF]
, 2013 In this article we study global existence and blow-up of solutions for a general class of nonlocal nonlinear wave equations with power-type nonlinearities, $u_{tt}-Lu_{xx}=B(- |u|^{p-1}u)_{xx}, ~(p>1)$, where the nonlocality enters through two pseudo ...
Erbay, Husnu A. +2 more
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A nonlocal operator method for solving partial differential equations [PDF]
Computer Methods in Applied Mechanics and Engineering, 2020 We propose a nonlocal operator method for solving partial differential equations (PDEs). The nonlocal operator is derived from the Taylor series expansion of the unknown field, and can be regarded as the integral form "equivalent" to the differential form in the sense of nonlocal interaction.
Huilong Ren +3 more
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Advanced Engineering Materials, EarlyView.This work reveals the phase composition and quantitative morphology analysis of precipitation‐hardened Fe32Cu12Ni11Ti16Al29 complex‐concentrated alloy. The precipitates are shown to have a high coherency. Morphology transition between sphere, cuboidal, and elongated morphology is observed. Finally, the overaging behavior is captured using microhardness.
Rostyslav Nizinkovskyi +4 more
wiley +1 more source
Decoding the Structure of Benzodithiophene Polymers for High‐Efficiency Organic Solar Cells
Advanced Functional Materials, EarlyView.This study reveals a unique solid mesophase in top‐performing benzodithiophene‐based polymers for solar cells, comprising stacked solid‐like and liquid‐like layers. Combining nanoscale fibrillar domains with amorphous regions, it introduces a new structural paradigm.
Matteo Sanviti +16 more
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, 2017 The existence of solutions of nonlocal problems of differential equation of integer orders and fractional orders have been studied by some authors (see [4], [6], [7] and ([14]–[17]) for example). Also stochastic problems are discussed in many papers, the
A. El-Sayed, F. Gaafar, M. El-Gendy
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Low‐Symmetry Weyl Semimetals: A Path to Ideal Topological States
Advanced Functional Materials, EarlyView.This study presents a theoretical framework for realizing ideal Weyl semimetals, where Weyl nodes are well‐isolated at the Fermi level. The approach is exemplified in the low‐symmetry material Cu2SnSe3, which exhibits tunable topological phases, current‐induced orbital magnetization, and a strong circular photogalvanic effect, making it a promising ...
Darius‐Alexandru Deaconu +3 more
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