Results 51 to 60 of about 18,337 (169)

Nonlinear equations involving m-accretive operators

Journal of Mathematical Analysis and Applications, 1983
This paper mainly deals with multivalued, m-accretive operators T in Banach spaces X, having the fixed point property for nonexpansive self- mappings on nonempty, bounded, closed, convex subsets.
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Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient

Electronic Journal of Differential Equations, 2018
The goal of this article is to explore the existence of positive solutions for a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Dirichlet boundary condition.
Yunru Bai
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On the approximations to fractional nonlinear damped Burger’s-type equations that arise in fluids and plasmas using Aboodh residual power series and Aboodh transform iteration methods

Frontiers in Physics
Damped Burger’s equation describes the characteristics of one-dimensional nonlinear shock waves in the presence of damping effects and is significant in fluid dynamics, plasma physics, and other fields. Due to the potential applications of this equation,
Saima Noor, Saima Noor, Wedad Albalawi, Rasool Shah, M. Mossa Al-Sawalha, Sherif M. E. Ismaeel, Sherif M. E. Ismaeel, S. A. El-Tantawy, S. A. El-Tantawy   +8 more
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On nonlinear Fredholm operator equations [PDF]

Bulletin of the American Mathematical Society, 1974
Berger, M. S., Podolak, E.
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NONLINEAR EQUATIONS WITH INTEGRATED OPERATOR STRUCTURES

Вестник Северо-Кавказского федерального университета, 2022
The article is devoted to the construction of nonlinear equations with partial derivatives possessing Lax operator structure. The presence of Lax pair is supposed to allow to integrate the obtained equations with the help of the inverse scattering problem method.
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Operator equations and nonlinear eigenparameter problems

Journal of Functional Analysis, 1973
AbstractTheorems concerning the existence and the approximation of roots of operator equations in an abstract space are established and then applied, advantageously, to extend the theory of nonlinear eigenparameter problems.
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Nonlinear Choquard equations involving nonlocal operators

, 2017
In this paper, we study nonlinear Choquard equations \begin{equation}\label{eq 1a1-} (- +id)^{\frac{1}{2}}u=(I_ *{|u|^p})|u|^{p-2}u\ \ {\rm in} \ \ \mathbb{R}^N, \ \ \ u\in H^{\frac{1}{2}}(\mathbb{R}^N), \end{equation} where $(- +id)^\frac{1}{2}$ is a nonlocal operator, $p>0$, $N\geq2$ and $I_ $ is the Riesz potential with order $ \in(0,N)$. We
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Nonlinear operator equations in Hilbert spaces

Journal of Mathematical Analysis and Applications, 1971
Edmunds, D.E, Webb, J.R.L
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Exploration of soliton solution of coupled Drinfel’d–Sokolov–Wilson equation under conformable differential operator

Partial Differential Equations in Applied Mathematics
The aim of this paper is to study the nonlinear couple Drinfel’d–Sokolov–Wilson (DSW) equation under conformable differential operator (CDO) that plays an important role in describing the shallow water in fluid mechanics, plasma physics, nonlinear optics
Waseem Akram, Aman Ullah, Sajid Ali, Shabir Ahmad   +3 more
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Continuous selections of solution sets to Volterra integral inclusions in Banach spaces

Electronic Journal of Differential Equations, 2006
We consider a nonlinear Volterra integral equation governed by an m-accretive operator and a multivalued perturbation in a separable Banach. The existence of a continuous selection for the corresponding solution map is proved.
Sergiu Aizicovici, Vasile Staicu
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