Results 41 to 50 of about 18,337 (169)

A Nonlinear Schrödinger Equation Resonating at an Essential Spectrum

Advances in Mathematical Physics, 2016
We consider the nonlinear Schrödinger equation -Δu+f(u)=V(x)u  in  RN. The potential function V satisfies that the essential spectrum of the Schrödinger operator -Δ-V is [0,+∞) and this Schrödinger operator has infinitely many negative eigenvalues ...
Shaowei Chen, Haijun Zhou
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Solvability of nonlinear operator equations [PDF]

Pacific Journal of Mathematics, 1981
Cramer, W. J., Ray, William O.
openaire   +2 more sources

Nonlinear Ritz approximation for Fredholm functionals

Electronic Journal of Differential Equations, 2015
In this article we use the modify Lyapunov-Schmidt reduction to find nonlinear Ritz approximation for a Fredholm functional. This functional corresponds to a nonlinear Fredholm operator defined by a nonlinear fourth-order differential equation.
Mudhir A. Abdul Hussain
doaj  

Dynamical investigation of the nonlinear Schrödinger equation with second-order spatiotemporal involvement of the time-conformable operator

Nonlinear Analysis
The article analyzes the application of the extended hyperbolic function technique to a conformable-operator nonlinear Schrödinger equation, incorporating group velocity dispersion coefficients and second-order spatiotemporal components.
Muhammad Amin S. Murad, Faraidun Kadir Hamasalh, Mujahid Iqbal, Sandeep Malik, Ahmed H. Arnous   +4 more
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A Characterization of Semilinear Dense Range Operators and Applications

Abstract and Applied Analysis, 2013
We characterize a broad class of semilinear dense range operators given by the following formula, , where , are Hilbert spaces, , and is a suitable nonlinear operator.
H. Leiva, N. Merentes, J. Sanchez
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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
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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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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
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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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