Keywords: 39A21; 39A12; Discrete eigenvalue problem; Symplectic difference system; Oscillation theorem; Finite eigenvalue; Comparative index; Separated boundary conditions; Joint boundary conditions;
مقالات ISI (ترجمه نشده)
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Keywords: 05C50; 39A12; Simplicial complex; Grover walks; Combinatorial Laplacian;
Keywords: 39A12; 30F30; Discrete complex analysis; Discrete Riemann surface; Quad-graph; Riemann-Hurwitz formula; Riemann-Roch theorem; Abel-Jacobi map;
Keywords: 05C50; 15B48; 31C20; 39A12; Elliptic operator; Signless Laplacian; Green kernel; Perturbed operator;
Keywords: 39A21; 39A12; Recessive solution; Discrete symplectic system; Nonoscillation; Minimal recessive solution; Controllability; Conjoined basis; Order of abnormality; Moore-Penrose pseudoinverse;
Keywords: 15A09; 15A39; 35J05; 39A12; Poisson equations; Five-point stencil; Matrix inverse; Infinity norm;
Keywords: 37J45; 39A12; 39A70; Homoclinic solution; Discrete nonlinear difference equation; Asymptotically linear nonlinearity; Critical point theory;
Keywords: 39A12; 31C20; 65M60; 60J45Discrete analytic function; Boundary value problem; Energy; Alternating current
Keywords: 39A12; 39A13; 37N30qq-difference equations; Delta derivative; Time scale; qq-difference
The Karamata integration theorem on time scales and its applications in dynamic and difference equations
Keywords: Karamata integration theorem; Regular variation; Time scale; Dynamic equation; Asymptotic formulae; 26A12; 34E05; 34N05; 39A12; 39A22;
The FuÄÃk spectrum of the discrete Dirichlet operator
Keywords: 39A10; 39A12; 39A70; 34B15; Asymmetric nonlinearities; Chebyshev polynomials of the second kind; Difference operators; FuÄÃk spectrum; Möbius transformation; Möbius matrix; Homogeneous coordinates;
Empirical analysis of bifurcations in the full weights space of a two-neuron DTRNN
Keywords: 39A12; 92B20; Discrete time recurrent neural networks; Weights space structure; Bifurcation analysis; Dynamic behavior analysis;
Symmetric duality for left and right Riemann-Liouville and Caputo fractional differences
Keywords: 26A33; 39A12; Right (left) delta and nabla fractional sums; Right (left) delta and nabla fractional differences; Symmetric duality; The Q-operator; Summation by parts; Discrete fractional calculus;
Uniqueness properties for discrete equations and Carleman estimates
Keywords: 35Q41; 39A12; Discrete Hardy uncertainty principle; Carleman estimates; Unique continuation;
Qualitative analysis of nonlinear Volterra integral equations on time scales using resolvent and Lyapunov functionals
Keywords: Lyapunov Functionals; Non-negative solution; Resolvent; Time scales; Volterra integral equation34A34; 34N05; 45D05; 39A12
Eigenvalues of discrete Sturm–Liouville problems with eigenparameter dependent boundary conditions
Keywords: 39A06; 39A12; 39A21; 39A70Discrete Sturm–Liouville problems; Right definite; Eigenparameter dependent boundary condition; Eigenvalues; Interlacing inequality
Standing waves for discrete Schrödinger equations in infinite lattices with saturable nonlinearities
Keywords: 35Q51; 35Q55; 39A12; 39A70Discrete nonlinear Schrödinger equations; Saturable nonlinearities; Nontrivial solitons; Spectral gap; Spectral endpoint
Continuous dependence of the n-th eigenvalue of self-adjoint discrete Sturm–Liouville problems on the problem
Keywords: 39A12; 34B24; 39A70Self-adjoint discrete Sturm–Liouville problem; The n-th eigenvalue function; Continuous dependence; Asymptotic behavior
Discrete Serrin's problem
Keywords: 31C20; 39A12; Serrin's problem; Overdetermined boundary value problems; Equilibrium measure; Spider networks; Minimum principle;
Time regularity and long-time behavior of parabolic p-Laplace equations on infinite graphs
Keywords: 39A12; 47H20; 05C50; Nonlinear semigroups generated by subdifferentials; Operators on graphs; Gradient systems; Parabolic equations with finite extinction time;
About the behavior of solutions for Volterra difference equations with infinite delay
Keywords: 39A13; 39A12; 43A60; 34E05; 34E10; Almost automorphy; Asymptotic behavior; Volterra functional difference equation;
Spectrum of the Laplacian on a covering graph with pendant edges I: The one-dimensional lattice and beyond
Keywords: 47B39; 81Q10; 39A12; Discrete Laplacian; Lattice; Graphene; Graphane; Spectrum;
Parabolic theory of the discrete pp-Laplace operator
Keywords: 39A12; 47H20; 05C50Nonlinear C0C0-semigroups generated by subdifferentials; Operators on discrete graphs; Discrete symmetries; Porous medium equation
First variation formula and conservation laws in several independent discrete variables
Keywords: 39A12; 39A14; 39A70; 47F05; 49K10; 49M25; 70S05; 70S10Discrete calculus of variations; Partial difference operators; Conservation laws; Abstract cellular complex; First variation formula; Adjoint difference operator
New results on the asymptotic behavior of solutions to a class of second order nonhomogeneous difference equations
Keywords: 39A12; 39A14; 39A10; 47H05; 47H25; 65Q10Second order difference equation; Maximal monotone operator; Asymptotic behavior; Ergodic theorem
On a resonance problem with the discrete pp-Laplacian on finite graphs
Keywords: 39A12; 39A20Discrete boundary value problems; Discrete pp-Laplacian; Graph Laplacian
Analytical and numerical treatment of oscillatory mixed differential equations with differentiable delays and advances
Keywords: 34K11; 39A12; 65Q05; Functional differential equations; Mixed and delay equations; Oscillatory solutions; Numerical schemes; Discrete equations;
Regular variation on measure chains
Keywords: 26A12; 26A99; 34C11; 39A11; 39A12; Regularly varying function; Regularly varying sequence; Measure chain; Time scale; Embedding theorem; Representation theorem; Second order dynamic equation; Asymptotic properties;
Asymptotic behavior of bounded solutions to a class of second order nonhomogeneous difference equations of monotone type
Keywords: 39A12; 39A11; 47H05Second order difference equation; Maximal monotone operator; Asymptotic behavior; Ergodic theorem
Numerical treatment of oscillatory functional differential equations
Keywords: 34K11; 39A12; 65Q05Functional differential equations; Delay equations; Oscillatory solutions; Numerical schemes; Discrete equations
Discrete affine minimal surfaces with indefinite metric
Keywords: 39A12; 53A15; 52C99; Affine minimal surfaces; Discrete affine surfaces; Asymptotic coordinates;
Periodic solutions of non-linear discrete Volterra equations with finite memory
Keywords: 65Q05; 37M05; 39A12; 47B34; 47B60Periodic solutions; Discrete equations; Finite memory; Fixed-point theorems; Quadrature; Weak singularities; Simulation
Weak maximum principle and accessory problem for control problems on time scales
Keywords: 49K15; 39A12; 34K35; 49N25; 93B05; 93C15; 93C55Time scale; Optimal control problem; Controllability; Normality; Weak maximum principle; Dubois–Reymond lemma; First variation; Second variation; Feasible family
Absolute stability and integral control for infinite-dimensional discrete-time systems
Keywords: 39A11; 39A12; 93B52; 93C10; 93C20; 93C55; 93D05; 93D10; 93D25Absolute stability; Nonlinear Volterra difference equations; Circle criterion; Discrete-time systems; Infinite-dimensional systems; Integral control; Popov criterion; Positive-real
Exponential stability preservation in semi-discretisations of BAM networks with nonlinear impulses
Keywords: 39A12; 65Q05; 92B2007.05.Mh; 02.30.Hq; 02.60.Jh; 02.70.BfSemi-discretisation; Discrete-time analogue; Nonlinear impulses; Exponential stability preservation
Periodicity in a ratio-dependent predator–prey system with stage-structured predator on time scales
Keywords: 39A12; 92D25Time scales; Ratio-dependent; Predator–prey systems; Periodic solution; Coincidence degree
Existence of weak solutions of two-point boundary value problems for second-order dynamic equations on time scales
Keywords: 39A12; 34B10Time scale; Boundary value problem; Critical point theory; Second-order dynamic equation
Computer simulations of exponentially convergent networks with large impulses
Keywords: 39A12; 65Q05; 92B20; Semi-discretization; Discrete-time analogue; Impulses; Exponential stability;
Exponential stability preservation in discrete-time analogues of artificial neural networks with distributed delays
Keywords: 34K28; 39A11; 39A12; 92B20; Discrete-time analogues; Distributed delays; Lyapunov sequences; Halanay inequalities; Exponential stability;
Existence of non-spurious solutions to discrete Dirichlet problems with lower and upper solutions
Keywords: 39A12; 34B15; Discrete Dirichlet boundary value problem; Existence of solutions; Non-spurious solutions; Lower and upper solutions; Convergence of solutions;
A discrete time version for models of population dynamics in the presence of an infection
Keywords: 39A12; 92D25; 39A10Discrete system; Population dynamics; Infection; Qualitative behavior
On M-functions and operator theory for non-self-adjoint discrete Hamiltonian systems
Keywords: 39A12; 47B39; Non-self-adjoint operators; Difference operators; Discrete Hamiltonian systems; Weyl-Titchmarsh M-function;
Stability of solutions for the recursive sequence xn+1=(α-βxn)/(γ+g(xn-k))
Keywords: 39A10; 39A12; Global attractor; Recursive sequences; Difference equations; Semi-cycles;
The generalized quasilinearization method and three point boundary value problems on time scales
Keywords: 34B15; 39A12; Time scales; Three point boundary value problems; Lower and upper solutions; Convergence;
Nagumo type existence results for second-order nonlinear dynamic BVPS
Keywords: 39A12; Nagumo condition; Lower and upper solutions; Time scales;