Results 11 to 20 of about 478 (66)
Interval-valued functional differential equations under dissipative conditions
Advances in Differential Equations, 2014 A new concept of inner product on the space of compact convex subsets of ℝ is introduced. Using this inner product we investigate the global existence and uniqueness of the solution of interval-valued functional differential equations.
N. Phu, Truong Vinh An, N. Hoa, N. Hien
semanticscholar +2 more sources
Demonstratio Mathematica, 2021 We consider strong damped wave equation involving the fractional Laplacian with nonlinear source. The results of global solution under necessary conditions on the critical exponent are established.
Bidi Younes +3 more
doaj +1 more source
Advances in Differential Equations, 2013 In this paper, we present a generalized concept of second-order differentiability for interval-valued functions. The global existence of solutions for interval-valued second-order differential equations (ISDEs) under generalized H-differentiability is ...
V. Ngo, Dinh Phu Nguyen
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Regularity estimates for fractional orthotropic p-Laplacians of mixed order
Advances in Nonlinear Analysis, 2022 We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.
Chaker Jamil, Kim Minhyun
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Advances in Nonlinear Analysis, 2023 In this article, we study the following general Kirchhoff type equation: −M∫R3∣∇u∣2dxΔu+u=a(x)f(u)inR3,-M\left(\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}| \nabla u{| }^{2}{\rm{d}}x\right)\Delta u+u=a\left(x)f\left(u)\hspace{1em}{\rm{in}}\hspace{0.33em}{{\
Zhang Jian, Liu Huize, Zuo Jiabin
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Advances in Differential Equations, 2013 The purpose of this paper is to propose a method for studying integro-differential equations with infinite limits of integration. The main idea of this method is to reduce integro-differential equations to auxiliary systems of ordinary differential ...
Y. Goltser, A. Domoshnitsky
semanticscholar +2 more sources
Existence of solutions of multi-point boundary value problems on time scales at resonance
Advances in Differential Equations, 2013 By applying the coincidence degree theorem due to Mawhin, we show the existence of at least one solution to the nonlinear second-order differential equation uΔ∇(t)=f(t,u(t),uΔ(t)),t∈[0,1]T, subject to one of the following ...
Junfang Zhao, Baozeng Chu, H. Lian
semanticscholar +2 more sources
On an abstract nonlinear second order integrodifferential equation
Journal of Function Spaces, Volume 5, Issue 2, Page 167-174, 2007., 2007 The aim of the present paper is to study the global existence of solutions of nonlinear second order integrodifferential equation in Banach space. Our analysis is based on an application of the Leray‐Schauder alternative and rely on a priori bounds of solutions.
M. B. Dhakne, G. B. Lamb, Nigel Kalton
wiley +1 more source
Harnack inequality for SDE with multiplicative noise and extension to Neumann semigroup on nonconvex manifolds [PDF]
, 2010 By constructing a coupling with unbounded time-dependent drift, dimension-free Harnack inequalities are established for a large class of stochastic differential equations with multiplicative noise.
Wang, Feng-Yu
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The trajectory‐coherent approximation and the system of moments for the Hartree type equation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 6, Page 325-370, 2002., 2002 The general construction of semiclassically concentrated solutions to the Hartree type equation, based on the complex WKB‐Maslov method, is presented. The formal solutions of the Cauchy problem for this equation, asymptotic in small parameter ℏ (ℏ → 0), are constructed with a power accuracy of O(ℏ N/2), where N is any natural number.
V. V. Belov +2 more
wiley +1 more source