Results 11 to 20 of about 1,424,011 (281)

Nonlinear second-order multivalued boundary value problems [PDF]

open access: yes, 2003
In this paper we study nonlinear second-order differential inclusions involving the ordinary vector $p$-Laplacian, a multivalued maximal monotone operator and nonlinear multivalued boundary conditions.
Gasinski, Leszek   +1 more
core   +2 more sources

Periodic Problems of Difference Equations and Ergodic Theory

open access: yesAbstract and Applied Analysis, 2011
The necessary and sufficient conditions for solvability of the family of difference equations with periodic boundary condition were obtained using the notion of relative spectrum of linear bounded operator in the Banach space and the ergodic theorem.
B. A. Biletskyi   +2 more
doaj   +1 more source

Multiplicity results for biharmonic equations involving multiple Rellich-type potentials and critical exponents

open access: yesBoundary Value Problems, 2019
In this paper, a biharmonic equation is investigated, which involves multiple Rellich-type potentials and a critical Sobolev exponent. By using variational methods and analytical techniques, the existence and multiplicity of nontrivial solutions to the ...
Jinguo Zhang, Tsing-San Hsu
doaj   +1 more source

A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality

open access: yesBoundary Value Problems, 2023
This paper aims to extend the Caputo–Atangana–Baleanu ( A B C $ABC$ ) and Riemann–Atangana–Baleanu ( A B R $ABR$ ) fractional derivatives with respect to another function, from fractional order μ ∈ ( 0 , 1 ] $\mu \in (0,1]$ to an arbitrary order μ ∈ ( n ,
Thabet Abdeljawad   +4 more
doaj   +1 more source

Inverse problems connected with two-point boundary value problems [PDF]

open access: yes, 1971
For the purpose of studying those properties of a nonlinear function $f(u)$ for which the two-point boundary value problem $u''+\lambda f(u)=0 (00$, the authors construct a number of kinds of special examples.
Cohen, Donald S., Hansen, Erik B.
core   +1 more source

How far does logistic dampening influence the global solvability of a high-dimensional chemotaxis system?

open access: yesBoundary Value Problems, 2021
This paper deals with the homogeneous Neumann boundary value problem for chemotaxis system { u t = Δ u − ∇ ⋅ ( u ∇ v ) + κ u − μ u α , x ∈ Ω , t > 0 , v t = Δ v − u v , x ∈ Ω , t > 0 , $$\begin{aligned} \textstyle\begin{cases} u_{t} = \Delta u - \nabla ...
Ke Jiang, Yongjie Han
doaj   +1 more source

Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions

open access: yesBoundary Value Problems, 2011
This paper is devoted to study the existence, nonexistence, and multiplicity of positive solutions for the nth-order nonlocal boundary value problem with impulse effects. The arguments are based upon fixed point theorems in a cone.
Meiqiang Feng   +2 more
doaj   +1 more source

L ∞ $L^{\infty }$ decay estimates of solutions of nonlinear parabolic equation

open access: yesBoundary Value Problems, 2021
In this paper, we are interested in L ∞ $L^{\infty }$ decay estimates of weak solutions for the doubly nonlinear parabolic equation and the degenerate evolution m-Laplacian equation not in the divergence form. By a modified Moser’s technique we obtain L ∞
Hui Wang, Caisheng Chen
doaj   +1 more source

Electrostatic boundary value problems in the Schwarzschild background [PDF]

open access: yes, 2001
The electrostatic potential of any test charge distribution in Schwarzschild space with boundary values is derived. We calculate the Green's function, generalize the second Green's identity for p-forms and find the general solution.
Anderson J L   +23 more
core   +2 more sources

Existence results for impulsive semilinear differential inclusions with nonlinear boundary conditions

open access: yesBoundary Value Problems, 2018
In this paper, we discuss the nonlinear boundary problem for first-order impulsive semilinear differential inclusions. We establish existence results by using Martelli’s fixed point theorem with upper and lower solutions method.
Yan Luo
doaj   +1 more source

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