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Approximation to the Sturm–Liouville Problem with a Discontinuous Nonlinearity
AbstractWe consider a continuous approximation to the Sturm–Liouville problem with a nonlinearity discontinuous in the phase variable. The...
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Impact of the Higher-Order Reactive Nonlinearity on High-Amplitude Dissipative Solitons
In this work, the impact of the higher-order reactive nonlinearity on very high-amplitude solitons of the cubic–quintic complex Ginzburg–Landau...
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Large Deviations of Stochastic Heat Equations with Logarithmic Nonlinearity
In this paper, we establish a large deviation principle for the solutions to the stochastic heat equations with logarithmic nonlinearity driven by...
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On the Cauchy Problem for the New Shallow-water Models with Cubic Nonlinearity
This paper is devoted to the new shallow-water model with cubic nonlinearity, which admits the single peaked solitons and multi-peakon solutions, and...
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Ground-State Solutions to a Hartree–Fock Type System with a 3-Lower Nonlinearity
In this paper, we achieve a ground state to a Hartree–Fock type system having an external potential and 3-lower nonlinearity. An interesting finding...
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Periodic solutions of a beam equation with jum** nonlinearity
In this paper, we investigate periodic solutions of a beam equation with jum** nonlinearity. Such a nonlinearity describes the restoring force...
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Inverse problems for some fractional equations with general nonlinearity
Inspired by some interesting equations modeling anomalous diffusion and nonlinear phenomena, we will study the inverse problems of uniquely...
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Minimal-Speed Selection to a Lotka–Volterra Competition System with Local Versus Nonlocal Diffusions and Cubic Nonlinearity
In this paper, the minimal-speed selection mechanism to a Lotka–Volterra type of model with local versus nonlocal diffusions and cubic nonlinearity...
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Stabilization and Blow-up in an Infinite Memory Wave Equation with Logarithmic Nonlinearity and Acoustic Boundary Conditions
In this paper, the authors consider the stabilization and blow up of the wave equation with infinite memory, logarithmic nonlinearity and acoustic...
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Control Design for a Perturbed System with an Ambiguous Nonlinearity
AbstractThe object of this study is an n -dimensional system of ordinary differential equations with an ambiguous relay nonlinearity under a...
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Solvability of Two-Dimensional Integral Equations with Concave Nonlinearity in the Plane
We consider a class of two-dimensional integral equations with noncompact monotone Hammerstein operators and concave nonlinearity. We prove a...
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Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity
We examine a Kirchhoff-type equation with nonlinear viscoelastic properties, characterized by distributed delay, logarithmic nonlinearity, and...
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Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity
In this paper, we establish the existence of a ground state solution for a weighted fourth-order equation of Shrödinger type under boundary Dirichlet...
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Global existence of solutions for a parabolic systems with logarithmic nonlinearity
The primary goal of this paper is to study the global existence and blow-up of solutions in a finite time for a class of parabolic systems that are...
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Oblique Derivative Problem for Parabolic Systems with Quadratic Nonlinearity in Gradient. Boundary Regularity Results
We consider a class of quasilinear parabolic systems with strong (quadratic) nonlinearity in the gradient. Under a one-sided condition on the...
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Kirchhoff-Type Problems Involving Logarithmic Nonlinearity with Variable Exponent and Convection Term
In the present article, we deal with a class of Kirchhoff-type equations involving a logarithmic nonlinearity and a convection term. Due to the lack...
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Identification for the Low-Contrast Image Signal with Regularized Variational Term and Dynamical Saturating Nonlinearity
In recent years, image processing based on stochastic resonance (SR) has received more and more attention. In this paper, a new model combining...
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On solvability of one class of integral equations on whole line with monotonic and convex nonlinearity
The paper studies the issues of existence, absence and uniqueness of nontrivial nonnegative and bounded solution for one class of nonlinear integral...
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Nonuniqueness of a Self-similar Solution to the Riemann Problem for Elastic Waves in Media with a Negative Nonlinearity Parameter
AbstractWe study self-similar solutions of the Riemann problem in the nonuniqueness region for weakly anisotropic elastic media with a negative...
