Keywords: روش تکراری مونوتونی; Nonlinear integro-parabolic equations of Volterra type; Nonlinear difference schemes; The weighted average method; Monotone iterative method; Upper and lower solutions;
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Keywords: روش تکراری مونوتونی; Nonlinear integro-parabolic equations of Volterra type; Nonlinear difference schemes; Monotone iterative method; Upper and lower solutions
Keywords: روش تکراری مونوتونی; Fractional differential equations with boundary conditions; Monotone iterative method; Lower and upper solutions; Existence of solutions; Mittag-Leffler functions
Keywords: روش تکراری مونوتونی; Monotone iterative method; First-order differential equations at resonance; Stieltjes integrals; Existence of solutions (extremal and quasi-solutions)
Keywords: روش تکراری مونوتونی; Fractional differential equations; Boundary value problems; Positive solution; Monotone iterative method
Initial value problems for neutral fractional differential equations involving a Riemann–Liouville derivative
Keywords: روش تکراری مونوتونی; Neutral fractional differential equations; Riemann–Liouville fractional derivatives; Delayed arguments; Monotone iterative method; Existence of solutions; Mittag–Leffler functions
Fractional equations of Volterra type involving a Riemann–Liouville derivative
Keywords: روش تکراری مونوتونی; Equations of Volterra type; Monotone iterative method; Riemann–Liouville fractional derivatives; Existence of solutions
Existence of solutions for a coupled system of difference equations with causal operators
Keywords: روش تکراری مونوتونی; Difference equations with causal operators; Difference inequalities with causal operators; Coupled lower and upper approximative solution; Monotone iterative method; Existence of solutions
Existence results to delay fractional differential equations with nonlinear boundary conditions
Keywords: روش تکراری مونوتونی; Monotone iterative method; Riemann–Liouville fractional derivatives; Delay arguments; Existence of solutions
Eigenvalue and spectral intervals for a nonlinear algebraic system
Keywords: روش تکراری مونوتونی; 47J05Eigenvalue; Fixed point theorem; Monotone iterative method; Nonlinear spectrum; Nonlinear algebraic system; Positive solution
Existence of a solution for the fractional differential equation with nonlinear boundary conditions
Keywords: روش تکراری مونوتونی; Coupled upper solutions and lower solutions; Coupled quasisolution; Monotone iterative method; Fractional differential equation; Nonlinear boundary conditions
Positive solutions for fractional four-point boundary value problems
Keywords: روش تکراری مونوتونی; Caputo fractional derivative; Fractional integral; Boundary value problem; Fixed-point theorems; Monotone iterative method
Boundary value problems for difference equations with causal operators
Keywords: روش تکراری مونوتونی; Difference equations with causal operators; Difference inequalities with causal operators; Lower and upper solutions; Monotone iterative method; Existence of solutions;
Systems of first order impulsive functional differential equations with deviating arguments and nonlinear boundary conditions
Keywords: روش تکراری مونوتونی; Systems of impulsive functional differential equations; Nonlinear boundary conditions; Monotone iterative method; Deviating arguments; Lower and upper solutions
Monotone iterates with quadratic convergence rate for solving weighted average approximations to semilinear parabolic problems
Keywords: روش تکراری مونوتونی; Semilinear parabolic problem; Weighted average scheme; Monotone iterative method; Quadratic convergence rate;
Uniform convergent monotone iterates for semilinear singularly perturbed parabolic problems
Keywords: روش تکراری مونوتونی; Semilinear parabolic problem; Singular perturbation; Monotone iterative method; Uniform convergence
Monotone method for singular BVP in the presence of upper and lower solutions
Keywords: روش تکراری مونوتونی; Monotone iterative method; Upper and lower solutions; Singular boundary value problem; Eigenfunction expansion; Banach contraction principle; Weyl’s limit circle case
Monotone iterative method for numerical solution of nonlinear ODEs in MOSFET RF circuit simulation
Keywords: روش تکراری مونوتونی; Nonlinear circuit model; MOSFET device; Ordinary differential equation; Monotone iterative method
Extremal solutions for the first order impulsive functional differential equations with upper and lower solutions in reversed order
Keywords: روش تکراری مونوتونی; Upper and lower solutions; Reversed order; Monotone iterative method; Impulsive differential equations with deviated arguments; Nonlinear boundary conditions;
The monotone method for periodic differential equations with the non well-ordered upper and lower solutions
Keywords: روش تکراری مونوتونی; 34B15; 34C25; Non well-ordered upper and lower solutions; Monotone iterative method; Anti-maximum principle; Unique solution;
Monotone iterative method for initial value problem involving Riemann–Liouville fractional derivatives
Keywords: روش تکراری مونوتونی; 26A33; 34A12; 34A40; 34A99Fractional differential equation; Solution; Monotone iterative method; Riemann–Liouville fractional derivatives; Existence and uniqueness
Existence and iteration of monotone positive solutions for an elastic beam equation with a corner
Keywords: روش تکراری مونوتونی; Existence; Monotone iterative method; Positive solutions; Elastic beam equations
Two classes of asymptotically different positive solutions of the equation yÌ(t)=âf(t,yt)
Keywords: روش تکراری مونوتونی; 34K15; 34K25; Delayed differential equation; Monotone iterative method; Retract method; Razumikhin's approach; Asymptotic behavior of solution;
Monotone iterative method for first-order functional difference equations with nonlinear boundary value conditions
Keywords: روش تکراری مونوتونی; Functional difference equations; Lower and upper solutions; Monotone iterative method; Nonlinear boundary value conditions
Boundary value problems with causal operators
Keywords: روش تکراری مونوتونی; 34A45; 34B15; Nonlinear boundary value problems with causal operators; Differential inequalities with positive linear operators; Monotone iterative method; Extremal solutions; Quasisolutions;
Existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order
Keywords: روش تکراری مونوتونی; 34B15; 34B27Upper and lower solutions; Reversed order; Monotone iterative method; Second-order three-point boundary value problem
An accelerated monotone iterative method for the quantum-corrected energy transport model
Keywords: روش تکراری مونوتونی; Monotone iterative method; Quantum energy transport model; Semiconductor device; Convergence analysis
Numerical solutions of a three-competition Lotka–Volterra system
Keywords: روش تکراری مونوتونی; Lotka–Volterra competition; Reaction–diffusion system; Finite difference system; Monotone iterative method; Upper and lower solutions; Asymptotic behavior
A two-dimensional thin-film transistor simulation using adaptive computing technique
Keywords: روش تکراری مونوتونی; Adaptive computing; Monotone iterative method; Drift-diffusion equations; Nonlinear trap model; Grain boundary; Thin-film transistor; Semiconductor device simulation;
Global attractivity for discrete models of nonautonomous logistic equations
Keywords: روش تکراری مونوتونی; Global attractivity; Discrete model of nonautonomous logistic equation; Monotone iterative method; Global asymptotic stabiliy; Periodic solution
A uniformly convergent method for a singularly perturbed semilinear reaction-diffusion problem with discontinuous data
Keywords: روش تکراری مونوتونی; Reaction-diffusion problem; Discontinuous data; Boundary and interior layers; Uniform convergence; Monotone iterative method;
A numerical iterative method for solving Schrödinger and Poisson equations in nanoscale single, double and surrounding gate metal-oxide-semiconductor structures
Keywords: روش تکراری مونوتونی; 72.15.Rn; 73.40.Ty; 73.40.Qv; 02.70.Fj; 02.70.-c; Schrödinger and Poisson equations; Quantum corrected Poisson equation; Numerical iterative method; Monotone iterative method; Nanoscale MOS structures;