Keywords: اصل مقایسه; nonlocal reaction-diffusion equations; traveling wavefronts; stability; comparison principle; weighted energy method; 35K57; 35B35; 92D25;
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Keywords: اصل مقایسه; Integro-differential equation; Option pricing; Switching liquidity; Buyer's indifference price; Well-posedness; Comparison principle;
Keywords: اصل مقایسه; primary; 35K59; 35B35; secondary; 35K20; 35B50; 35B51; Quasilinear parabolic equations; Exponential rate of convergence; Maximum principle; Comparison principle; Aggregation in population dynamics; Perona-Malik model;
Keywords: اصل مقایسه; Impulsive functional differential equations(IFDEs); Comparison principle; Infinite delays; Stability; Boundedness;
Keywords: اصل مقایسه; Comparison principle; Gronwall inequality; Maximal and minimal solutions;
Keywords: اصل مقایسه; Event-triggering; State estimation; Complex networks; Comparison principle; Time-varying delays;
Keywords: اصل مقایسه; Variable-time impulses; Neural networks; Periodic solution; Comparison principle; Global exponential stability;
Keywords: اصل مقایسه; Semilinear heat equations; Discrete Laplacian; Comparison principle; Blow-up;
Keywords: اصل مقایسه; Predator-prey; Nonlocal; Comparison principle; Existence; Uniqueness; Bifurcation; 35A01; 35B32; 35B51; 35K57; 92D25;
Keywords: اصل مقایسه; 34K18; 37G10; 37G05Traveling waves; Stability; Comparison principle; Weighted-energy method
Keywords: اصل مقایسه; Quasilinear elliptic equations; Hardy's inequality; Asymptotic behaviors; Comparison principle
Keywords: اصل مقایسه; 35A01; 35A02; 35A09; 35B09; 35B33; 35B40; 35B51; 35K70Sublinear pseudoparabolic equation; Non-autonomous and unbounded source; Comparison principle; Global well-posedness; Grow-up rate; Critical exponent
Keywords: اصل مقایسه; Nonlocal population model; Comparison principle; Existence–uniqueness; Global stability
Keywords: اصل مقایسه; Nonlinear stochastic systems; (h0, h)-stability; Lyapunov method; Comparison principle; Luenberger observer; Feedforward (or cascade) systems
Keywords: اصل مقایسه; primary, 35J25; secondary, 35D05, 35B65Viscosity solutions; Interior gradient blow up; Linear degenerate elliptic equations; Comparison principle; Discontinuous solutions
Keywords: اصل مقایسه; 35J87; 35R70; 47H04; 49J40Multi-valued variational inequality; Variational–hemivariational type inequality; Sub–supersolution; Lattice condition; Discontinuous multi-valued operator; Comparison principle
Keywords: اصل مقایسه; primary, 53C44; secondary, 35K55, 35D40, 35B51Singular energies; Driven curvature flow; Viscosity solutions; Comparison principle
Keywords: اصل مقایسه; 35R03; 26B25Heisenberg group; H-convex functions; Comparison principle; Aleksandrov-type maximum principle
Keywords: اصل مقایسه; Fractional functional differential equations; Impulses; Integral manifolds; Lyapunov functions; Comparison principle;
Keywords: اصل مقایسه; Comparison principle; Stochastic delayed neural network; pth Moment stability; Markovian switching; Stable in probability
Keywords: اصل مقایسه; Entropy; Subsolution; Supersolution; Maximal solution; Minimal solution; Comparison principle;
Keywords: اصل مقایسه; Stability theory; Impulsive fractional functional differential equations; Comparison principle; Lyapunov method;
Keywords: اصل مقایسه; Nonlinear degenerate; Parabolic equations; Comparison principle
Keywords: اصل مقایسه; 35J70; 35J25; 35B40; Infinity Laplacian; Asymptotic estimate; Boundary blow-up; First and second expansions; Comparison principle;
Novel Mittag-Leffler stability of linear fractional delay difference equations with impulse
Keywords: اصل مقایسه; Impulsive fractional difference equations; Comparison principle; Mittag-Leffler stability; Discrete-time control;
A note on one-dimensional time fractional ODEs
Keywords: اصل مقایسه; Fractional ODE; Caputo derivative; Comparison principle; Asymptotic behavior; Stability;
Comparison and sub-supersolution principles for the fractional p(x)-Laplacian
Keywords: اصل مقایسه; Fractional p(x)-Laplace operator; Comparison principle; Sub-supersolution principle;
Parabolic-elliptic chemotaxis model with space-time dependent logistic sources on RN. II. Existence, uniqueness, and stability of strictly positive entire solutions
Keywords: اصل مقایسه; Parabolic-elliptic chemotaxis system; Logistic source; Stability; Entire solutions; Asymptotic spreading; Comparison principle;
On the asymptotic behavior of radial entire solutions for the equation (âÎ)3u = up in Rn
Keywords: اصل مقایسه; 35B08; 35B51; 35J48; 35K46; Triharmonic equation; Sub/super-solution; Monotonicity solution in time; Comparison principle;
Curved fronts in the Belousov-Zhabotinskii reaction-diffusion systems in R2
Keywords: اصل مقایسه; 35K40; 35K57; 35C07; 35B35; 35B40; Belousov-Zhabotinskii reaction; Traveling waves; Curved fronts; Supersolution and subsolution; Comparison principle;
Some qualitative properties of Finsler p-Laplacian
Keywords: اصل مقایسه; Finsler p-Laplacian; Picone Identity; Hardy Inequality; Comparison Principle;
The strong maximum principle in parabolic problems with the p-Laplacian in a domain
Keywords: اصل مقایسه; Quasilinear parabolic equation; Singular p-Laplacian; Subsolution; Expanding spherical wave; Comparison principle;
The stochastic solution to a Cauchy problem for degenerate parabolic equations
Keywords: اصل مقایسه; Local martingales; Stochastic solutions; Degenerate Cauchy problems; Feynman-Kac formula; Necessary and sufficient condition for uniqueness; Comparison principle;
Effective nonlinear Neumann boundary conditions for 1D nonconvex Hamilton-Jacobi equations
Keywords: اصل مقایسه; 49L25; 35B51; 35F30; 35F21; Hamilton-Jacobi equations; Nonconvex Hamiltonians; Discontinuous Hamiltonians; Viscosity solutions; Comparison principle; Effective boundary conditions;
A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps
Keywords: اصل مقایسه; primary; 35J70; 35J86; 49J40; 35R35; 35R45; secondary; 49J20; 60J60; Comparison principle; Degenerate elliptic differential operator; Non-negative characteristic form; Obstacle problem; Schauder regularity theory; Viscosity solution;
The study of global stability of a diffusive Holling–Tanner predator–prey model
Keywords: اصل مقایسه; Global asymptotic stability; Positive equilibrium solution; Comparison principle; Diffusive predator–prey systems
IMEX schemes for a parabolic-ODE system of European options with liquidity shocks
Keywords: اصل مقایسه; Parabolic-ordinary system; European options; Finite difference scheme; Comparison principle; Positivity;
Nonsmooth viscosity solutions of elementary symmetric functions of the complex Hessian
Keywords: اصل مقایسه; 32U05; 35D40; 35J70Fully nonlinear elliptic PDE's; Elementary symmetric functions of the eigenvalues of the complex Hessian; Comparison principle; Gradient estimates; Pogorelov counterexample
Nonuniqueness and multi-bump solutions in parabolic problems with the p-Laplacian
Keywords: اصل مقایسه; 35B05; 35B30; 35K15; 35K55; 35K65Quasilinear parabolic equations with p-Laplacian; Nonuniqueness for initial-boundary value problem; Sub- and supersolutions; Comparison principle; Barenblatt-type solutions
Asymptotic boundary estimates to infinity Laplace equations with Î-varying nonlinearity
Keywords: اصل مقایسه; Infinity Laplacian; Asymptotic estimates; Boundary blow-up; Î-varying; Comparison principle;
Existence of extremal solutions for nonlinear fractional differential equation with nonlinear boundary conditions
Keywords: اصل مقایسه; Riemann–Liouville fractional derivative; The method of upper and lower solutions; Nonlinear boundary conditions; Comparison principle
Impulsive Fractional Functional Differential Systems and Lyapunov Method for the Existence of Almost Periodic Solutions
Keywords: اصل مقایسه; fractional functional differential systems; almost periodic solutions; impulses; comparison principle; Lyapunov method
Potential theory for the sum of the 1-Laplacian and p-Laplacian
Keywords: اصل مقایسه; 1-Laplacian; Nonlinear potential theory; Comparison principle; Cheeger constant;
Nonsmooth solutions for a class of fully nonlinear PDE’s on Lie groups
Keywords: اصل مقایسه; 35R03; 35J96; 35D40; 35J70Fully nonlinear degenerate elliptic PDE’s; Elementary symmetric functions of the eigenvalues; Horizontal Hessian; Left invariant vector fields; Comparison principle; Gradient estimates; Pogorelov counterexample
Solutions to a class of parabolic inhomogeneous normalized p-laplace equations
Keywords: اصل مقایسه; Parabolic normalized p-Laplace equation; viscosity solution; asymptotic mean value property; comparison principle; uniqueness theorem; infinity Laplacian35C15; 35C20; 35K20; 35K92; 35Q91; 35B51; 35D40
Asymptotic behaviors of solutions to quasilinear elliptic equations with critical Sobolev growth and Hardy potential
Keywords: اصل مقایسه; 35J60; 35B33Quasilinear elliptic equations; Hardy's inequality; Comparison principle; Asymptotic behaviors
Moment stability of nonlinear discrete stochastic systems with time-delays based on HH-representation technique
Keywords: اصل مقایسه; Discrete stochastic systems with time-delays; Moment equations; Halanay inequality; HH-representation technique; Comparison principle
New global exponential stability results for a memristive neural system with time-varying delays
Keywords: اصل مقایسه; Neuromorphic learning systems; Hybrid systems; Global exponential stability; Comparison principle
Global stability of impulsive fractional differential equations
Keywords: اصل مقایسه; Global stability; Impulsive fractional differential equations; Comparison principle; Lyapunov method
Behavioral analysis of a nonlinear three-staged population model with age-size-structure
Keywords: اصل مقایسه; Life stage; Age-size-structure; Existence and uniqueness; Comparison principle; Extinction; Persistence;