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Learnable Global Layerwise Nonlinearities Without Activation Functions functions such as Rectifi ed Linear Unit (ReLU), Sigmoid, and Hyperbolic Tangent (Tanh). In this work, we

On critical exponents for weak solutions to the Cauchy problem for one nonlinear equation with gradient nonlinearity differential equation with gradient nonlinearity (Formula presented.). The solution to this problem

Nonexistence of Sign-Changing Solutions for Some Elliptic Inequalities in Bounded DomainsAbstract: Nonlinear elliptic inequalities in bounded domains and systems of such inequalities

Value Functions and Their Directional Derivatives in Parametric Nonlinear ProgrammingWe study questions of existence and calculation of directional derivatives of value functions

Nonlinear Schrödinger equations on periodic metric graphsThe paper is devoted to the nonlinear Schrödinger equation with periodic linear and nonlinear

A combined relaxation method for nonlinear variational inequalities, rather than one, nonlinear mappings and a nonsmooth convex function. We establish a convergence result

Particle transport by internal breathers are investigated in the framework of weakly nonlinear theory. We use the Gardner equation to describe

On some properties of entropy solutions of degenerate non-linear anisotropic parabolic equations nonlinear degenerate anisotropic parabolic equation. Applying this result, we establish the comparison

Nonexistence results for some nonlinear elliptic and parabolic inequalities with functional parameters and parabolic inequalities with functional parameters involving the p(x)- Laplacian operator. The proof is based

ABOUT THE SOLVABILITY OF THE CAUCHY PROBLEM FOR NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONSThe Cauchy problem for a nonlinear functional-differential equation of general type with Volterra

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