Results 21 to 30 of about 816 (100)
Weak Solutions of Fractional Order Differential Equations via Volterra-Stieltjes Integral Operator
, 2017 The fractional derivative of the Riemann-Liouville and Caputo types played an important role in the development of the theory of fractional derivatives, integrals and for its applications in pure mathematics ([18], [21]).
A. El-Sayed, W. El-Sayed, A. El-Mowla
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ON THE VOLTERRA-STIELTJES INTEGRAL EQUATION AND AXIOMATIC MEASURES OF WEAK NONCOMPACTNESS
International Journal of Apllied Mathematics, 2019 In this note, we will use a compactness type condition in connection with the weak topology to prove the existence of weakly continuous solutions for a functional integral equation of Volterra-Stieltjes type in nonreflexive Banach spaces.
A.A.H. Abd El-Mwla
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Boundary Value Problems, 2014 We are concerned with the following nonlinear problem: −div(w(x)|∇u|p(x)−2∇u)+|u|p(x)−2u=μg(x)|u|p(x)−2u+f(λ,x,u,∇u) in Ω, ∂u∂n=0 on ∂ Ω, which is subject to a Neumann boundary condition, provided that μ is not an eigenvalue of the p(x)-Laplacian.
Byung-Hoon Hwang +2 more
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Small perturbations of critical nonlocal equations with variable exponents
Demonstratio Mathematica, 2023 In this article, we are concerned with the following critical nonlocal equation with variable exponents: (−Δ)p(x,y)su=λf(x,u)+∣u∣q(x)−2uinΩ,u=0inRN\Ω,\left\{\begin{array}{ll}{\left(-\Delta )}_{p\left(x,y)}^{s}u=\lambda f\left(x,u)+{| u| }^{q\left(x)-2}u&
Tao Lulu, He Rui, Liang Sihua
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Positivity of the infimum eigenvalue for equations of p(x)-Laplace type in RN
Boundary Value Problems, 2013 We study the following elliptic equations with variable exponents −div(ϕ(x,|∇u|)∇u)=λf(x,u)in RN. Under suitable conditions on ϕ and f, we show the existence of positivity of the infimum of all eigenvalues for the problem above, and then give an ...
I. Kim, Yun-Ho Kim
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Existence of an unbounded branch of the set of solutions for equations of p(x)-Laplace type
Boundary Value Problems, 2014 We are concerned with the following nonlinear problem −div(ϕ(x,|∇u|)∇u)=μ|u|p(x)−2u+f(λ,x,u,∇u)in Ω subject to Dirichlet boundary conditions, provided that μ is not an eigenvalue of the p(x)-Laplacian.
Yun-Ho Kim
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Least energy sign-changing solutions for a nonlocal anisotropic Kirchhoff type equation
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we investigate the existence of sign-changing solutions for the following class of fractional Kirchhoff type equations with potential (1+b[u]α2)((-Δx)αu-Δyu)+V(x,y)u=f(x,y,u),(x,y)∈ℝN=ℝn×ℝm,\left( {1 + b\left[ u \right]_\alpha ^2} \right ...
Rahmani Mohammed +3 more
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ON THE WEAK SOLUTIONS OF THE URYSOHN-STIELTJES FUNCTIONAL INTEGRAL EQUATIONS
, 2018 The analysis of Urysohn-Stieltjes integral operators has been studied in [1]. Here we study the existence of weakly solution of functional integral equations of Urysohn-Stieltjes type and Hammerstien-Stieltjes type in the reflexive Banach space E.
A. El-Sayed, M. M. Al-Fadel
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Quasilinear Dirichlet problems with competing operators and convection
Open Mathematics, 2020 The paper deals with a quasilinear Dirichlet problem involving a competing (p,q)-Laplacian and a convection term. Due to the lack of ellipticity, monotonicity and variational structure, the known methods to find a weak solution are not applicable.
Motreanu Dumitru
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Boundary Value Problems, 2014 In this paper, we deal with the boundary value problems without initial condition for Schrödinger systems in cylinders. We establish several results on the regularity of the solutions.MSC: 35Q41, 35B65, 35D30.
Nguyen Thi Lien, N. M. Hung
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