Results 1 to 10 of about 717,764 (281)
A priori estimate for discontinuous solutions of a second order linear hyperbolic problem [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2010 In the paper we investigate a non-local contact-boundary value problem for a system of second order hyperbolic equations with discontinuous solutions. Under some conditions on input data, a priori estimate is obtained for the solution of this problem.
S. S. Akhiev
doaj +4 more sources
Solvability of nonlinear fractional integro-differential equation with nonlocal condition [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – This study describes the applicability of the a priori estimate method on a nonlocal nonlinear fractional differential equation for which the weak solution's existence and uniqueness are proved.
Sakhri Aicha, Ahcene Merad
doaj +1 more source
Bulletin of Mathematical Sciences, 2023 A no-flux initial-boundary value problem for the cross-diffusion system ut = Δ(uϕ(v)),vt = Δv − uv is considered in smoothly bounded domains [Formula: see text] with [Formula: see text].
Michael Winkler
doaj +1 more source
Bifurcation results of positive solutions for an elliptic equation with nonlocal terms
AIMS Mathematics, 2021 In this paper, we investigate the local and global nature for the connected components of positive solutions set of an elliptic equation with nonlocal terms.
Jiaqing Hu, Xian Xu , Qiangqiang Yang
doaj +1 more source
A priori estimate for resolving the boundary fractional problem
AIMS Mathematics, 2023 The energy inequality method (or a priori estimation) known in classical cases has been adopted for fractional evolution equations associated with initial conditions and boundary integral conditions.
Hacene Mecheri, Maryam G. Alshehri
doaj +1 more source
Axioms, 2022 The paper considers a class of nonlinear differential equations which are not solvable in quadratures in general case. The author’s technology for solving such equations contains six problems.
Victor Orlov, Magomedyusuf Gasanov
doaj +1 more source
On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions
Moroccan Journal of Pure and Applied Analysis, 2021 The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of integration is demonstrated and applied to establish the a priori estimate of the solution ...
Aggoun Karim, Merad Ahcene
doaj +1 more source
Application of a Priori and a Posteriori Estimate on Risk Assessment
Communications, 2018 The problem of setting the values and interconnections between elements of the models in the safety, protection and security field, appears as the biggest obstacle in taking crisis management decisions.
Lenka Sivakova +2 more
doaj +1 more source
A priori error analysis of virtual element method for contact problem
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 As an extension of the finite element method, the virtual element method (VEM) can handle very general polygonal meshes, making it very suitable for non-matching meshes. In (Wriggers et al. in Comput. Mech.
Fei Wang, B. Daya Reddy
doaj +1 more source
The Inaccuracy of Sample-Based Confidence Intervals to Estimate A Priori Ones
Methodology, 2020 Confidence intervals (CIs) constitute the most popular alternative to widely criticized null hypothesis significance tests. CIs provide more information than significance tests and lend themselves well to visual displays.
David Trafimow, Joshua Uhalt
doaj +1 more source