Results 1 to 10 of about 20,302 (268)

Existence of Subharmonic Periodic Solutions to a Class of Second-Order Non-Autonomous Neutral Functional Differential Equations

Abstract and Applied Analysis, 2012
By introducing subdifferentiability of lower semicontinuous convex function φ(x(t),x(t−τ)) and its conjugate function, as well as critical point theory and operator equation theory, we obtain the existence of multiple subharmonic periodic solutions to ...
Xiao-Bao Shu, Yongzeng Lai, Fei Xu
doaj   +1 more source

Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation

Boundary Value Problems, 2019
In this paper, by studying the solutions of the abstract operator equation A(x,x)+B(x,x)+e=x $A(x,x)+B(x,x)+e=x$ on ordered Banach spaces, where A, B are two mixed monotone operators and e∈P $e\in P$ with θ≤e≤h $\theta \leq e\leq h$, we prove a class of ...
Yanbin Sang, Yan Ren
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Solvability of Semilinear Operator Equations with Growing Nonlinearity

Journal of Mathematical Analysis and Applications, 2000
The author studies the solvability of abstract semilinear equations of the form \(Lu+N(u)=v\) in a Hilbert space. One of the principal assumption is that the nonlinear operator \(N\) has linear growth.
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HAM-Based Adaptive Multiscale Meshless Method for Burgers Equation

Journal of Applied Mathematics, 2013
Based on the multilevel interpolation theory, we constructed a meshless adaptive multiscale interpolation operator (MAMIO) with the radial basis function.
Shu-Li Mei
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A Newton-type method and its application

International Journal of Mathematics and Mathematical Sciences, 2006
We prove an existence and uniqueness theorem for solving the operator equation F(x)+G(x)=0, where F is a continuous and Gâteaux differentiable operator and the operator G satisfies Lipschitz condition on an open convex subset of a Banach space.
V. Antony Vijesh, P. V. Subrahmanyam
doaj   +1 more source

An Iterative Approach for Solving Fractional Differential Equations Using the α-Generalized Daftardar–Jafari Method [version 1; peer review: 2 approved]

F1000Research
Background Fractional calculus has gained significant attention due to its applications in modeling complex systems. This paper introduces several fundamental fractional operators, including the Riemann–Liouville, Caputo, and Hadamard operators.
Sahib Abdulkadhim Sachit, Hassan Kamil Jassim   +1 more
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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
doaj  

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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The existence of wave operators for nonlinear equations [PDF]

Pacific Journal of Mathematics, 1966
openaire   +2 more sources